I guess my in-laws live much further south of the Tampa airport than I remembered! Sorry -
There are parts of the Tampa Bay area which are a ways from the airport. I remember vacationing in St. Petersburg, and it took at least an hour from the airport to our resort. Of course, this was 30 years ago, but still...
These days, we always drive. Our last trip in February, we actually arrived in Florida a day ahead of schedule (we left early to avoid a snowstorm). So instead of exiting at the Turnpike, we continued on I-75 to Tampa Bay. We have stayed in Tarpon Springs before (just north of Tampa), so we spent the night there again. It took every bit of two hours to get from Tarpon Springs to Orlando. But we took our time....our room still wasn't ready by the time we got to our resort.
We stopped at Plant City, which is right on I-4, for about an hour. There is a winery there if you want some good wine. And of course, you cannot pass up the fruit stands there. Plant City is the strawberry capital, so we bought several quarts of strawberries. Nothing like fresh strawberries...especially at a time of year you can never get them.
As everyone said, the drive from Tampa Airport to Disney is an easy drive (and Disney is before Orlando). However, I hope you have time, either when you arrive at the airport or leave to go home, to spend some time in the Tampa/St. Pete/Clearwater/Tarpon Springs area.