Wow. A ton of questionable information on this thread Matt.
Per your PM a VRBO rental downtown would be fine but you'll end up doing quite a bit of driving as there is very little public (or private for that matter) golf within 25 minutes. A better bet would be to call JR at
http://www.emeraldgreensresort.com/ which is on the property of Carrolwood Country Club. The lodging is excellent for the price. There is a full kitchen in each unit. He can also set you up with tee times at a number of courses in the area. CCC is a fun golf course with excellent greens. I would certainly make a point to play there at least one day. There are a ton of restaurant options within 5 minutes and downtown Tampa/South Tampa is only 20 minutes south.
He has access to the tee sheet at TPC Tampa Bay, Southern Hills Plantation, World Woods and a number of other courses at very competitive rates.
If I were on a budget in Tampa for an October trip, I would play/consider the following:
Streamsong: at least for one round and the pricing should be decent in October
World Woods: a fun day at a good price
SHP: Good golf course with a ton of elevation change, unique to FL
TPC: Wonderful condition and really close to Emerald Greens (I have no idea what Pete was thinking saying the greens are flat?)
Lake Jovita: 36 of holes of very good golf
I would avoid Bardmoor, Babe Zaharias and Westchase at all costs. Avila is private.
Let me know if you need any dining recs.