I don't think I have ever seen a 200 watt plug-in inverter. Sometimes the MFG includes a plug in cord with, say, a 400 watt inverter, but warns that it's use reduces the maximum ac current available. As that type connection is usually rated at 10 amps, that would leave you at 120 watts max. If you have a 20 amp fuse on your power outlet in your trailer it is overfused and could lead to overheating the outlet.
If you try to force the issue, most inverters will shut down very quickly.
Best bet, an inexpensive 200/400 watt inverter, hard wired to the coach battery
via a 20 or 30 amp circuit breaker.