Well if you will train up in the hills, what do you expect?
Leeds Bradford doesn't have the best of reputations for weather.
Nothing to stop you doing the written exams over here then jetting off to Florida for the flying. Just make sure that it's co-ordinated between the schools - ask whichever school you're planning to fly from in FL, they can advise you best.
Beware though, we're heading towards hurricane season in Florida. Turn up during one of those and you'll wish you were back at LBA!