I'm no help. I opt for the Dictionary.com definition of getaway: "a place where one escapes for relaxation, vacation, etc., or a period of time for such recreation:"
For me, a gay fat camp getaway would be a luxury spa with an open bar, brunch, tea-time, and midnight buffets and staffed with a variety of studly masseurs, bartenders and waiters in thongs and cut-off tees. A shuttle service to/from local "entertainments" would be a nice touch.