Sorry for the delay and thanks for the information. I'm a little more confident that I can use the Earth Shaking Palm properly in a battle.
(Doton: Kengan no Jutsu) - Earth Release: Fist Rock Technique
Personally, I don't particularly like or dislike this technique. I would use it in battle, but I probably wouldn't go out of my way to create circumstances where I could use it, if that makes sense. As the description says, this technique can be combined with the Added Weight Rock technique in order to further increase the damage dealt by your punch similar to what Oonoki did. The weakness of this technique is perhaps that it is so straightforward. As you said, it can usually be countered relatively easily by basic lightning bolts.
As for possible uses besides punching, I just came up with something, though I'm unsure whether its been done before. Anyways, it should be possible to conceal something -- an item or tag of some sort -- within your hand, within the rock. Unless they have the Byakugan, the Rock Fist should obscure their vision of whatever item you're concealing while also drawing your opponents attention to the Rock Fist itself, rather than the concealed item waiting to be used immediately afterward. Unfortunately I'm not yet specifically sure what item I'd hold or how apply this idea in the midst of a battle :x That requires a little more thought on my end.
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(Doton: Ton'neru chika no Jutsu) - Earth Release: Tunneling Technique
This technique seems pretty similar to the Hiding Like a Mole and Underground Submarine Voyage techniques in that it allows you to travel through the earth from one place to the other, however this technique may be better in some ways. While using either of the two previously mentioned jutsu, the user is basically unable to do anything else (You can't perform jutsu while using Submarine Voyage and you can only perform C-Rank and below earth while using Hiding like a Mole). With this the tunneling technique, because you're creating the tunnel all at once and travelling through it yourself afterwards, you're free to perform whatever other jutsu from within the tunnel -- it should make it easier for you to perform jutsu in self-defense if you sense a threat while underground, even if you can't necessarily see where that 'threat' is coming from. For example, if your opponent happened to use Stone Lodging Destruction to cause the tunnel to cave-in and collapse on you, you could defend yourself from the falling rubble with Chidori Nagashi.
As for possible uses, it should be possible to use the tunnel to transport things besides yourself or your allies -- you could also transport your own jutsu. What I mean by that is that you could send one of your own jutsu through the tunnel in such a way that the shape of the tunnel concentrates and directs all of the accumulated force of your technique to one spot (at the other end of the tunnel). Because your attack would likely be delayed from having to travel through the tunnel, depending on how you play things, you might be able to attack your opponent with two damaging techniques simultaneously. For example, I create a tunnel with one end opening in front of me and the other opening behind my opponent at such a distance that the shifting of the earth will not be felt by them. Then I spew flames (or something else) into the hole in front of me which disappear underground. Next, I use some other technique (e.g. a wind jutsu that would forcibly push the opponent backwards and simultaneously fan the flames, use Earth Flow River which would push the opponent away and cause the flames to ignite the mud, etc) that would send my opponent flying backwards towards the hole behind them just as the flames would begin to spew out the other end.