Hi Joel
We have an '06 Pat Thunder with the same issues. We have never had the lights get this hot, but my bay lights have all been off for months, I think we may have a master switch or a master fuse some place. I did check with the forum about a month ago, with no luck, I, also, contacted Beaver Sales in Bend and Monaco, all with them same results, we don't have any master control other the the slide switches at each light.
Your idea of using a LED light is a great idea, and the same approach I have used on the patio/entry light. The LED is never hot, uses no amps, so for these applications, they are great. But, you can't use the LED in a dimmer circuit. They flicker at the lower power.