WE booked at Chase Suites, call them (rather than one of the web sites). If you can't find the ### go to Tampa hotels.....if not post a reply and I will get it.
They are suites, one and two bedrooms, each with their own bath.....kitchen, living room, fireplace.....
I paid, $169, two couples (split it) they will take you from the Airport to hotel, to the westshore area mall (hot place, shop, eat, and hang out...), to the port, and from the port to the airport on your return, free.
I've also stayed at Chase Suites and if you have a large family (we were traveling with our kids) or two couples I would highly recommend it.
I've also stayed at the Doubletree Westshore which I got on priceline for $50/night. They have a free shuttle from the airport and to the pier, and the Wyndham Westshore for $78/night which I got on hotwire. The Wyndham has a free shuttle from the airport, but not to the pier. Both were clean and comfortable.