Thanks for the tip. I also assumed that the jumping part of the description shouldn't be used that way.
(Katon: Gōenka ) - Fire Release: Great Flame Flower
*I start by begin molding my chakra and channeling it to my gut. As I have done previously, I line my insides with a protective layer of chakra to avoid getting burned when expelling the flames. I proceed to concentrate the chakra and after a little while longer, move on to performing nature transformation; I rapidly heat up my chakra while continually compressing it so as to give the fireballs more physical "presence" when released. After a while longer, when I feel I've molded enough katon chakra, I channel some regular chakra to my legs and get a running start before leaping high into the air. Once in the air, at the apex of my jump, I expel the fire towards the ground in the distance in front of me. In tandem with my release of the fire, I perform shape transformation, forming a layer of regular chakra over the fire and manipulating that layer to split it up into three evenly sized parts. Manipulating that layer in this short instant, the fire would take on the form of three large fireballs raining down on the imaginary opponent in front of me. As the fireballs impact the ground, they lose their shape and erupt into violent geysers of flames that lick at the air around them (this is because of how I previously compressed the fire, it erupts in this manner because of the suddenly released pressure previously created by the layer of chakra initially used to shape each fireball). After releasing the fireballs, I land on the ground (a safe distance away from the point of impact) and perform ukemi to minimize the damage I would take from my own fall.*
Possible Uses: It might be convenient to use this technique after creating an Earthen Rampart beneath your feet. For example, say your opponent launches an attack at you. You defend against that technique by raising an earth rampart beneath your feet. Because of the way you elevated yourself, your opponents attack would crash against the front of the rampart instead of hitting you, and you can jump off the edge of the rampart and into the air where you would proceed to use this technique, releasing the fireballs that then rain down on your opponent.
Advantages: Considering the large size of the fireballs and the way they erupt into a pillar of flames on contact with their target (instead of just "simmering" away) this technique should prove particularly difficult to avoid.
Disadvantages: I suppose the disadvantage of using this technique is that it can only be used after jumping into the air. Depending on the circumstances, jumping into the air may leave you temporarily vulnerable to attack since it would be harder to avoid certain carefully aimed or timed techniques.
(Katon: Haisekishō ) - Fire Release: Ash Pile Burning
*I begin by memorizing the necessary handseals and placing a flint in my mouth, before molding chakra and closing my eyes in concentration. When I close my eyes, I visualize the characteristics of ash and try to imagine how I would perform this technique. As always, I form a thin, protective layer of regular chakra that lines my insides to avoid getting burned. I begin to channel and concentrate my chakra in my gut while imagining how to give my chakra incendiary qualities. When i feel that I 've molded enough chakra, I begin performing nature transformation and begin to rapidly heat up my chakra. At this point, I begin compressing my chakra into multiple small, super-hot embers. I concentrate heavily on this aspect of my performance, making sure that the I properly form the ash and compress it enough to continuously raise the amount of heat they carry. After a little while longer, I perform the necessary handseals and follow by releasing the ash cloud from my mouth. Because of how I previously compressed the embers, the ash cloud heavily hangs in the air in front of me without moving. In the next instant, I click my teeth together in such a way that the flint in my mouth lets off a spark that successfully ignites the ash cloud and sets off a large, fiery explosion.*
Possible Uses: Not sure how well this would work, but it might be possible to combine this technique with a wind and water technique to create a lahar, which is a highly destructive, fast-flowing current of hot mud.
Advantages: Asuma demonstrated that it's possible to read the air currents within the ash cloud in order to monitor the movements of the opponent. This is a plus considering that the cloud would tmeporarily obscure your vision of the opponent.
Disadvantages: Depending on their reaction, it might be possible for the opponent to blow this ash cloud back toward you with a powerful enough wind style technique.
(Katon: Gōryūka no Jutsu ) - Fire Release: Great Dragon Fire Technique
*I begin by memorizing the necessary one handseal before kneading chakra and closing my eyes in concentration. I follow by creating a thin, protective layer of charka that lines the insides of my body to protect again burns. Afterwards, I bgin to channel and concentrate my chakra in my gut. At this point, I start to visualize the appearance of a dragon to use as a reference when executing shape transformation. After molding a sufficient amount of chakra, I begin to perform nature transformation, rapidly heating up my chakra. After a little while longer, I perform the required handseal and release the accumulated fire. The instant that I release the fire from my mouth, I coat it in a layer of regular chakra. By manipulating this layer of regular chakra, I perform shape transformation and bend the layer of chakra to match the image of the dragon in my mind. As a result of its "container" changing shape, the fire immediately changes to resemble a dragon head. As I release the fire, I also evenly split it into three parts so that instead of a single fireball, I release three Dragon head fireballs one after the other in a straight line. The fireballs are aimed for the area out in front of me, and will simply continue to fly away until they eentually hit something or fade away.*
Possible Uses: Because of its long range and the heat given off by this technique, it is possible to use it to change the weather conditions to set up for the use of Kirin.
Advantages: The fireballs look really cool

Plus, they only require one handseal and have a far range, so they should be able to reach an enemy at virtually any distance.
Disadvantages: It's difficult to think of any explicit disadvantages to using this technique, but if I had to say, if you split the fireballs up to attack multiple targets in different places, their overall powerful would be distributed between them, making each individual fireball weaker than B-Rank. Because of this, in the aforementioned situation, it would be relatively easy to defend against or even avoid one of the weaker fireballs.