If you have a 30A to 15 amp adapter, you can test the TT-30 receptacle with your tester. If you do not have one, you can plug in your rig, and then test the 15A outlet outside with the tester. I am very confident that Trail Wagons did not mess up their wiring, so if you see the same reversed polarity there, then the TT-30 receptacle is also messed up. (be very careful now that you knew there is a problem, in fact, I suggest you don't do this at all and try to fix the receptacle first)
A good home inspector should have spotted this issue before you brought the house... don't tell me you build the place yourself... i will shut up if that is the case.
It is possible there are other issues with your electrical, but I know that reverse polarity do give you a nasty shock. It is because most appliance switch the hot wire. So if you have an appliance to a receptacle with reversed polarity, power is being sent to everything. With your rig, even with your 30A breaker flipped, you are still have live voltage all over the rig because of a reversed polarity at the receptacle. This is because the breaker only disconnect the black/hot wire. So when you wife call you to make sure you are safe, you scream back and say "yes, honey, I got every breakers flipped in the AC panel box!" imagine the surprise you have when you touch the neutral wire, and make her into a wealthy widow.
When you are washing the rig, there is probably something that is turned off, but have the neutral connected to the ground (green). Since the reversed polarity, the 110V AC is flow down all over the circuit/rig, and jump over to the ground/green, and since the chassis frame is very likely grounded, you got the nice shocked that you have.
I am not a licensed electrician, so take my word with bag of salt. I think the ground should not connect to the neutral at Chinook AC panel, or any sub-panel in your house, but it is connected at the main breaker panel at your house for safety reason. You may want to check the AC panel in your rig as well as your sub-panel, if you have any. Hire someone who is competent, and have insurance, and never anyone on the Internet. And if you have to touch the AC, make sure you flip the breakers... oh wait, I forget that it is not going to help you in your case...
