If you happen to get Pakura from GNW treasure, it'll help minato a lot, granting him more standard attacks each round, scaling his damage up.
Try wind main, to make Pakura immune also. The last ninja could be Iruka, or Guy, since both don't require you to draw on other treasures besides GNW.
Try to focus on GNW treasure from now on. There certainly isn't much reason for you to choose others, even Kage treasure rares die in round 1 by the hidden mist ninjas from GNW treasure, and they cn almost do their mystery each round.
Have Minato on your 1st move slot, load him up with much initiative so he can move first before the enemy can try to stop him.