Battery recommendations for 1500W inverter

What sort of tow vehicle? My TT is not wired heavily enough for a large inverter, even with two Trojan 6 volt batts. My solution was to put the 3.5KW inverter/charger into the truck bed along with 6-6volt agm batts. Short double aught wiring. Fused at 300 amps and I blew several fuses during testing. None blown in normal use. The TT plugs into the inverter through normal 30 amp shore connection. Moving everything to the tow vehicle makes all DC cable runs very short. Cooking in the MW is no problem.