I use a system that works for us. Because I use a pickup, my exact setup would not work for the OP, but perhaps just knowing it can be done and how, you may get some ideas. I use a Victron inverter/charger and 6 Lifeline 6 volt batteries in series/parallel. Single aught gauge interconnections. Double aught cables to/from inverter from the batts. The Victron has some pretty nifty features that allow you to charge and run AC with lower wattage shore feeds. I blew 300 amp fuses multiple times testing the system on AC so there are very high currents involved here. I never tried to run the AC all day. I envisaged being able running the AC at noon rest stops. During testing i could run the AC for 55 minutes on low fan. The inverter/charger will put around 60 amps (depending on temps) to the batteries with a 30 amp shore line. I have a '17 truck with dual alts. I have obtained a supply of 0 gauge cable and intend to interface the batts with the truck's system. There hasn't been much urgency because we typically camp at no service campgrounds and such for 2 or three days. The batts will run the micro, cat warmers, electric blanket, TV, etc for two days. If we will be staying longer, we bring twin connected Hondas and slam the batteries as hard as possible. Lifelines were chosen because they have nearly unlimited charge and dischargw rates. The batts and inverter fit in a aluminum in bed tool box. Your results may vary.
