I don't know that this answers you question or is even helpful, but: I have an AT250 set up on an oscillator. I have one marine deep cycle battery for the trap and one for the oscillator. When not in use the batteries are hooked up to solar chargers. I run the trap house on average about 5 hours a week. I seldom have to recharge the batteries otherwise.
I don’t know off the top of my head. It is the deep cycle battery at BiMart for $89 plus core charge. They will run all month on a charge, and probably more. We just get in the habit of charging them every month. I just replaced one that was 5 years old.