With no electric hookups your RV AC unit will not function since it's operation depends on having the same 120 volt power you have coming out of the outlets in your home. Your RV batteries supply 12 volts DC similar to your car and can not power your RV AC unit unless you have an inverter to convert battery DC voltage to house type AC voltage.
If you have vent fans they can be run to create airflow that will provide some relief, especially overnight when temps cool a bit. There are portable 12 volt fans available at Camping World, and some car/truck part stores if you have cigarette lighter type outlets in your RV to plug fans into. Hard to say how long they can run without knowing battery history.
Camping without hookups in very cold or hot temps is challenging since batteries tend to be depleted at an accelerated rate. Furnace and fans need to be run excessively under these conditions and batteries take a beating to meet these demands in addition to it's obligatory duties. Some method to recharge batteries is needed if camping without power, even for a few days.
Hope you can get some relief, my DW and I have difficulty sleeping in overly warm temps. We do prefer and thoroughly enjoy camping without any type of hookups. We have invested in solar and generators making dry camping under most any condition pleasant and worry free. If you rarely camp without hookups then no need to invest, just try to make the best of it on this trip.