You'll be fine with that battery.
Get yourself a 500 to 1000 watt inverter and tie it in.
I used a single GP 31, dual purpose battery and junk, Harbor Frieght, 750 watt inverter, for our first trip from PA to FL. Watched Sat TV and made coffee in the AM.
Once settled in, down south, I replaced the noisy inverter with a PSW 1000 inverter, auto transfer switch and a pair of GC2 batteries in a compartment. The next spring, I added 300 watts of solar.
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