I grew up in Tampa and worked at Adventure Island during high school. Here are my recommendations in no particular order. The first three are very close to BG. The last is the Marriott Waterside. It is in downtown Tampa, but is also the nicest of the recommendations. Enjoy!
Hampton Inn & Suites - Tampa/North
8210 Hidden River Parkway (I-75 and Fletcher Avenue)
Tampa, FL
813-903-6000
Embassy Suites Hotel (on the USF Tampa Campus)
3705 Spectrum Boulevard
Tampa, FL 33612
813-977-7066
Marriott - Residence Inn
13420 N. Telecom Parkway
Tampa, Florida 33637
813-972-4400
Marriott - Tampa Waterside
700 S. Florida Ave.
Tampa, Florida 33602
813-221-4900