LOTS of options in and around the area. Just fiddle with google Earth and choose Golf courses to be highlighted and you'll see lots of green border lines. That time of year, conditions are usually great- not too hot and all the courses should be in tip top shape. Pass on the TPC, not worth the $$$ IMHO. For a classic, try Dunedin Golf Club designed by Donald Ross. Classic Florida style golf. Innisbrook is an option but prices are well over your $75 for the 2 courses worth playing, Copperhead or The Island. For the World Woods courses, go to their site and sign up for specials- right now, either course is $59, midweek in February.
I have played a few north of Tampa area, but not too many south, so maybe someone else can fill in those gaps. I'll be in the area (possibly) a bit later and I plan on giving Westchase a try, along with my usual trip to Lansbrook (one of the first I played down there and a sentimental favorite). A nice mix of bombs away holes and strategic narrow ones. Cheval has changed owners or management or something and isn't as difficult to get out as it used to be- seems to be more open to outsiders. A bit of "condo-golf", but I found it a better test than the TPC in general. The Eagles is another option, but keep it straight- not much room for error. A quirky little course near the Eagles is The Silver Dollar Golf and Trap club. Not a "lux" experience but a few good holes and always very hospitable. More of a "muni-type" conditions last time I played (2010?), but enjoyable never the less. Like I said, there a LOT of options in the area so you wont be wanting for someplace to play.