In a word, Yes. You will be on I75 at peek rush hour traffic so I would allow an additional hour at the minimum.
Have a safe trip!
It really depends on your starting point in Tampa. Once you get on I-75 the only thing to delay you will be if there is an accident. Otherwise it will be plain sailing on I-75 and you could easily do it in 2.5 hours, if you drive at just under 80 mph on I-75.
Other than that, it shouldn't be too bad -- I'd leave 3 hours to be on the safe side, as it depends on WHERE in Tampa you're leaving from.
I used to live in South Hillsborough (25-30 minutes from most of Tampa), and 2 hours would get me to the Fort Myers airport -- not to Naples.
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