While it may not necessarily be a 'problem', many of us have no issues plugging into a GFCI shore outlet. I would imagine that while you have no issues using a standard outlet, their IS something in your coach that is causing it to trip the GFCI circuit of the shore power outlet. More than likely a loose wire in your Main Panel... if not, a possible loose wire within the shore power's own GFCI outlet.
'14 Thor Palazzo 33.3 compact diesel
KingTailgater2 Dish, 100w/5amps roof SOLAR, BlueOx, 100,000+mi since '14... US, Alaska, and Canada... from GA, then NC, now N AL : )