It does have nice destination and asan owner i like the private beach (not so good for the public). 

Most reverse exchanges are done with cash from the client or a private loan of some sort from an individual or a portfolio bank.When your old property sells you will have that cash in your account to purchase the new property. 

After arrival they're disappointed to find it's not a private bedroom, which leads to disgruntled guests that search for way to get a refund and leave bad reviews.

You may want to find a private lender, sell something, etc…The mortgage lates are going to keep you from any bank/mortgage products

Does each room have its own private bathroom or is there a shared hall bathroom? 

Private lenders can't do it.

I would look at private money lenders who can consider giving your a line of credit based on a multiple of the cash you have. 

I know people who do STR in their house, but it's as private as possible.

A lot of private lenders will use their white label program to appear as a direct lender, however it is just another loan broker.

I was being factious with the suggestion that PP folks would run up to the high desert they are more likely to go out to La quinta and one of the many private clubs there which will have housing to their standards ..