This is the ideal solution. If I could get the chargeverter in 24V, I'd buy it in an instant. I've found a few battery chargers that can max out at 35 charging amps at 24 volts, but that just won't be enough to offset the AC.
I wasn't taking into account the conversion loss and was assuming the batteries were at 24V, not the actual 26V so my estimates were low. Thanks for the correction. I think I was approaching generator overload and that was sending dirty power to the inverter and making it think it was in overload.
Moral of the story, this generator isn't big enough.