Can you get topside and remove the plastic shroud from the A/C? SAFELY?
Compressor will have two pieces of tubing between itself and the rest of the A/C. The larger one should be cool with compressor running, and the smaller one should be hot. Are they?
You didn't say it's a Heat Pump so I'll trust it isn't so there's no reverse valve to cause trouble.
What's the Make, Model, Size of this A/C?
Have you ever cleaned its coils? The condenser coil at the rear of the unit is easy to get at. Clean obvious stuff from fins with soft brush. Then spray with 409 or the like, rinse with medium pressure water. The evaporator coil (that provides cooling) is inside the front of the A/C inside some shrouding. Same process but you need towels to keep water from going down into the coach. You'll see the condensate drain tray under that coil. Clean that too, and make sure your rinse water drains out of that tray onto the roof.
There should be a Freeze Sensor near the evaporator coil. Those can get out of position and shut the compressor off prematurely, but you say your compressor is running.
Please try this and report back.
RV A/C units are a fully sealed system, like a home refrigerator or window A/C. They CAN leak refrigerant but it's rarely the problem.