Switching to a non-GFCI outlet will solve the immediate problem, but will expose you to a risk, and not solve the real problem, why is the GFCI tripping?
As mentioned by Chickdoe, the ground fault is a safety device. It senses current flow between the 120 Hot, neutral (the return wire) and earth ground.
What does this mean to you ?
If you've ever got a small shock when you touched something like a toaster, or frig, or washing machine, or the outside of your MH, or a campground pedestal, or anything. The small shock you got was because there was current flow from either the hot line or the neutral line, through you, to earth ground.
GFCI measures this current flow in the circuit its protecting. Every electron that goes out the Hot line, must come back via the return line, and NOT via the earth ground. If not, it immediately opens pops and opens the entire circuit its monitoring.
To add a visual to this scenario, the current path could be from the 110 hot line that somehow got shorted to refrigerator door handle and cabinet, through your daughters arm, through her shoulder, past her heart, out her other arm, and into the kitchen sink that she is leaning against. If GFCI works, the circuit will trip immediately (within milliseconds) because it seen a discrepancy in supply and return current. Your daughter will complain she got a slight poke when she tried to open the frig, and by the way, the circuit breaker tripped.
Without GFCI protection, your daughter could suffer from a major cardiac ( she gets electrocuted) seizure as her heart tries to beat at a 60 hz rate.
What model number on the Converter??
Your post said your unit is a 2001 vintage, so I will assume your converter is a single stage unit. You might consider upgrading to a three stage unit, these are more battery friendly, i.e. they don't overcharge / undercharge the coach battery. AND they can re-charge the battery significantly faster than a single stage converter. (15 - 20 minutes vs hours)
If your Converter is tripping the GFCI, it would be a good opportunity to upgrade the converter.
2001 Coachmen Mirada (Ford F53 6.8L V10) - Toad 2003 Saturn Vue
It won't do MACH 2, but I can get a sandwich and take a pee.