Am I asking to much from 2x T105's?

As I said, Im not into solar but I have worked on a lot of electric fork lifts and carts and understand the basics. Even 2 new T105's are not going to do much. I think most people that are running solar are on a whole different path and I cant imagine that they are trying to run high amperage appliances. Its all math. You cant draw that many amps and not expect an extremely long recharge time. The batteries should be kept in the green zone in the chart on the link below. Page down about half way and it will give you a green zone to operate in. Even if the inverter has a low shut off it shouldn't be standard operating procedure to go there. Even a new battery will be trashed quickly when discharged to that level.

http://www.marxrv.com/12volt/12volt.htm

Another good link

http://www.solar-electric.com/deep-cycle-battery-faq.html#Lifespan