We camp without electrical hookup about 25% of the time. We have a residential fridge and 4 deep cycle flooded batteries, no solar. While not optimal, this works for us. In average weather we meet our power needs by recharging while traveling between sites or running our on board diesel generator 2-3 hours a day. We minimize power use when the gennie is off and clump power use during generator time. We monitor voltage to keep >12.0. A few times we ran low and turned the fridge off at the breaker till next recharge time. Fridge does fine - temp stays below 42 and frozen foods stay solid. I suspect OP may have more issues due to very hot ambient temps.
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