You’re not likely to be able to kill the Bosses with them, so the strategy would be to get to the Bosses and then nuke them.
Here’s the Guide I made for that:
Based on that, if you took Dragon Attacks, Bombs, Axes, and Minor Healing Potions, you could try to make it through to the Bosses and then fire all items.
The items alone are enough to kill the Bosses, with 1 Axe to spare.
It’ll be hard, but I think it’s doable.
I’d suggest taking Rigard and Kailani to help with survival through the monsters.
Brienne is good for making your tiles hit harder, so you can make it through the earlier Waves. Melia can help there too. They’ll be needed so you can kill the monsters with tiles and no heavy hitters.
I’d take Belith in the last slot, to help Rigard and Kailani with keeping everyone alive.
It’ll be slow and risky, but I think it’s doable.