Lots of questions.
As far as training, was your Tx instructor NRA Certified? If so, that certificate would suffice for training (cert must include Instructor printed name, signature, and NRA Inst. number). If not, simply call DOACS and chat with them. See what they have to say about your 'organized shooting competitions'. If that doesn't work, have any friends that are NRA Certified Instructors? It doesn't have to be an NRA course...
If you obtain your FL CWFL while residing in Tx, once you move to FL, all you have to do is call DOACS and have them change your license address in their system. The actual CWFLs don't have addresses on them any longer, so you don't even need a new license.
Hope that helps.