2) Can any "quick resolve" system appropriately reduce resources and would players feel okay with it.
I think anything that's just some dice rolls is going to be poorly received. But if you had players deciding they wanted to expend X resources on the combat, and then those resources influenced some dice-driven resolution mechanism, and the results would determine whether you lost any other resources, that might work better. An even better approach actually might be for players to "bet" X resources on the combat, and if the dice-based resolution went well maybe they don't lose many of them or even perhaps any, and obviously if it goes badly they lose those resources and perhaps then some, etc. etc. I'm pretty sure this could be figured out, but would people want to?