AC and solar not really practical and I suggest you accept this reality.
I would not run fridge either because the load is quite a bit but if you insist here is what I'd get:
600 watt Renogy system. A 400 watt system with an MPPT controller is $1000 on amazon.com Another 2 panels is about an additional $250 or so.
3 battery banks consisting of 2 232 amp-hour golf cart batteries (Premium Golf cart battery is $112 apiece at Sams Club and is same as $155 Interstate battery at batteries plus.
AUTO TRANSFER SWITCH for inverter. Make life easy to switch back/forth automatically between inverter A/C and generator A/C
Inverter: Samlex PST. I have a 1500 watt one and love it. Again, you will need a 3000 or higher one for a/c but battery powered a/c is not practical.
Trimetric 2030 battery monitor: A must to see state of usage and battery charge.
My system is over 600 amp hours of battery power with 3 battery banks
Renogy 400 watt solar, 40 amp MPPT controller,
3 battery selector switches
Auto transfer switch/relay
1500 Watt Samlex PST Inverter with remote switch/monitor for inverter
Trimetric 2030 battery monitor with 500 amp shunt
6 gauge cable from combination box on roof to charge controller via disconect switch
70 amp hour Progressive Dyanamics 3 stage charger with remote "pendant/monitor" moved within 3 feet of battery packs.
2 gauge wire for all battery and inverter wiring!
Perko battery selector switches. Each bank is switchable on/off
30-40 hours of labor (hardest part is all of the cable and then removing panel under camper to run Romex back/forth)
My setup is almost identical to this one in how it looks: http://www.loveyourrv.com/my-friends-awesome-580-watt-rv-solar-power-system/
Good luck and ditch the a/c on batteries unless you don't mind having 1000 lbs of batteries that will only last 2 hours or so running the a/c.
