Since the wedding party will be staying on Anna Maria Island (about 30 minutes from the Sarasota Airport) at Club Bamboo Resorts there has been requests for alternative accomodations closer to that location. Here are some Bradenton Beach, Anna Maria Island options:
Queen's Gate Resort - Seems like a pretty good low-cost option across the street from a beautiful section of beach. Got decent reviews on Trip Advisor.
Tradewinds Resort - Studios starting at $130. Looks beautiful!
Tortuga Inn Beach Resort - Standard hotel rooms starting at $115, two bedroom units also available. Looks like the most luxurious of the three.
Shuttle Service, AMI Inc. - Anna Maria Island Shuttle Service to and from airports and "island hopping" around Lido, Longboat, and Anna Maria.
Hope this helps!