Thanks to all the 'hounds who helped me find a boba tea establishment in Tampa. We paid a visit to Got Tea? (www.got-tea.com) with our 8 year-old niece and treated her to a fluorescent sour-apple slush. It was fantastic. I had a sour plum slush, and HungryMan (my accomplice) had a lemon slush. All were fantastic, with very soft tapioca.
I went back three more times on that week-long visit and had the taro slush (which is by far the best taro bubble tea I've ever had, anywhere!) twice and the thai iced tea slush once as well. Again, everything we had there was superb. I'd recommend the place in a flash.
We stopped and had a chat with the immigration lawyer in the same strip mall and she told us about a place a bit further in on Waters Avenue called the Banh Mi Cafe that specializes (surprise, surprise) in banh mi sandwiches. We're going to pay them a visit on our next trip, but in advance of that, maybe some enterprising Floridian Chowhounds will do som reconnaisance for us.
Thanks again everyone!