99% of hotels and guesthouses are ladyboyfriendly in Thailand. Needless to restrict your search to websites dealing with ladyboyfriendly places.
Don't feel offended if they ask your guest to deposit her ID at the reception. It's better for your own safety.
Not really in Patong Beach. Several of the hotels apply a joiner fee, like La Flora (2000 baht joiner fee), Nap (1500), The Lantern (1000 baht), and ladyboys are totaly forbidden to enter the KEE Resort & Spa. As I see, you info is not up to date.