Forget about your Gold status, but do fly AA.
For TPA-WAS, nothing beats nonstop to DCA. Five minutes from the gate to the Uber pickup and 10 minutes to downtown. Both BWI and IAD are inconvenient airports and you presumably want to avoid public transportation into DC.
Only reason to fly to BWI or IAD is if by "DC area" you mean close to one or the other airport.
Highly unlikely that as a Gold you are upgraded and there really isn't much else that matters. While I would not recommend it during non-pandemic times, F will cost about $100 more and I consider it well worth it just because the passenger volume is lower and there is more space.