Do you have a coleman AC , you never said
You could mount the cool only stat close and run the wires behind not drilling a hole , wire it make sure it works first
Heres a cool only stat for coleman , analog , you already have a digital room temp on the other one .
Make sure your AC is on the list of compatible ones
https://www.pplmotorhomes.com/parts/rv-appliances/air-conditioner/air-conditioner-parts-accessories/mach-8-heat-pump-15k-bk_61357
@ amazon
https://www.amazon.com/Airxcel-69-1247-T-Stat-Wall-Analog/dp/B00KPR3T9M/ref=sr_1_1?dchild=1&hvadid=77928006825257&hvbmt=bp&hvdev=c&hvqmt=p&keywords=7330f3361&qid=1606083705&sr=8-1&tag=mh0b-20