Having worked in the propane industry, I have to agree with LJAZ: You should have a professional check it out. Our campers are filled with little hidden pockets that could easily collect enough propane to cause a real problem! You probably don't know where every propane fitting is, so you can't thoroughly bubble-check. The one you miss might be the leaker. And since propane is heavier than air, a leak outside/underneath the camper will almost never trigger the lp gas alarm.
A competent propane tech will put a gauge and air pressure on the entire system and then wait to see if the air bleeds out. If it does bleed out, it means there's a leak- and to keep looking.
Since your problem seems to correlate with the water heater running, it could even be a cracked or otherwise failing valve, valve fitting, or even the burner tube.
Unless you honestly understand how to work with propane, my advice is to not risk it.