We have been going for several years and will be there again this year. So here are my recommendations:
Hotel - Carlisle Inn - reasonably priced beautiful hotel with outstanding service, only a couple of miles from the stadium.
Things to do in the area - Siesta Key Beach, St. Armand's Circle, Mote Aquarium, Peace River Airboat Tours, too many other things to list.
Restaurants - Gecko's, Walt's Fish Market Restaurant and Tiki Bar, Solorzano's Pizzeria, Madfish Grill, Der Dutchman (for breakfast buffet and fresh bakery)
I hope this helps. Enjoy your visit.