Dude, Vermont is the original constitutional carry state.

Lots of different sources cited in this thread. Let me add mine.

I would hire a FLA Attorney that specializes in Firearms law. And if he told me my home state permit was valid I'd ask him to put that opinion in writing and to cite the pertinent Fla law.

I'd carry that with me so I could show anyone in LE that needed to see it.

The last thing I would do is depend on a Fla Cop or Sheriff. In Mass. a state with convoluted gun laws for sure, if you asked 10 cops you might get 10 different answers.

And even the "correct" answer can end up being wrong if that part of the law has never seen the inside of a courtroom.

No laws against getting a separate CCW in multiple states.
Just get the Florida CCW.

If you want a quick permit with very little hassle in FL call the Tavares location. They put you through for a permit very quickly. Just make sure they get a good finger print. I renewed my permit this year and was approved and out in ten minutes. My wife filed for a permit that should have taken no longer than 30 days. We received a letter in sixty that her fingerprint (done electronically was not legible). She had to start over and it took all together more than sixty days to receive her permit. If you have a W2 from the military you do not have to have a training certificate but can apply immediately.

I am assuming that you are referring to Florida Department Of Agriculture, in Tavares. Correct ?

I did mine at the county office in Bushnell. They have an electronic fingerprint machine there. The lady that does processing will have you keep trying until the system accepts your prints.
You make an appointment and there’s no waiting.