Google Peukert's law/equation to understand battery capacity vs discharge rate.
Personally I think you will be better off using higher capacity batteries with dedicated solar charge controller/inverter.
My experience is that three AGS GX-130 (110AH each) in a 36 VDC UPS will handle ~500 watt load for one hour and recharge in 1.5 hours. If outage is longer (i.e. battery is drained more), recharge will be slower and battery life will end faster.