Congrats on your new TT! For snowbirding, we're partial to the SW coast of FL - anywhere from Clearwater down to Ft. Myers. If you're going to stay in a commercial park, Sun 'n Fun in Sarasota, FL is a wonderful park with a LOT of ammenities (pool, bar-happy hour too, workout center, two dog parks, tennis, pickleball, volleyball, great bathrooms, laundry, etc.). It's not on the beach in Sarasota, FL, but it's right off the interstate and about a 15-20 minutes drive from Siesta Key Beach. With a park like this (or any other one like this) you're NOT going to find huge private sites, especially in FL. Land is too expensive near the beach. BTW, these parks are pricey and fill up fast.
Sun 'n Fun