Minato could have won this without the Sage Toads, but giving them to him makes this a stomp.
The only hope that Bee has of winning this is Bijuu Mode, but thanks to Minato's S/T Barrier, that's rendered useless. Minato casually enters Hermit Mode on his own, and with Shima and Fuka to sustain it, Bee literally has no chance. Minato's base Shunshin is already on par if not exceeding V2 Ay, someone who's faster than most people in the series bar other S/T users and Juubi Jins. Add in Hermit Mode's physical enhancements, and Bee has Minato in his face faster than he can think or blink. He won't end him there, as Bee will most likely enter Bijuu Mode, but that's where the fight ends. Minato marks Bee in that mode, as the bigger the mode, the easier the target he is. That renders Bijuu dama's completely useless as the S/T Barrier will immediately redirect all Bijuudama right back at Bee and end him (don't take the "tanking" feat for granted. Bee was in shambles after his own single TBB). If Bee tries to prep the Whirlwind technique to rid the battlefield of Kunai, Minato teleports over to him and quickly slices off Bee's tentacles, rendering the technique useless. Once BM is worn out, Bee is blitzed and his head is cut off.