1100ah should be able to run a regular ac air cond via a 3k inverter
. I think you need more solar, and possibly Li type of battery to get power back in the morn. And smart regulator
for your alts.
It also depends on how you use the ac. Do you need to keep it at 68, or could you do 74, basically just getting the humidity out. That dramatically changes the duty cycle of the high A useage.
But seeing lots of new boats running everything off of a 800 to 1k lithium bank via an inverter