In your house circuit the ground and neutral circuits are tied together in the main electrical panel. IF the OP had his coach plugged in with a power cord that included hot, neutral, and ground wires, this effectively grounds the coach. IF the power cord did not include all of the necessary wires, the ground could be open because in an RV the neutral and ground wires are not tied together in the electrical panel.
A static shock is a one time thing that dissipates the voltage (usually very high voltage) in a split second. It can return if you are away from the coach and allow the static charge to build up. But once a static shock happens, you should be able to hold your hand on that surface with no discomfort. If the shock or tingle persists, then there is electrical power that is involved coming from the house circuit and needs to be corrected before someone gets hurt.
