What school are you at out there? is it any good? I did most of my training in FL also but weather is so bad. I'm going back out to do my FAA CPL/IR but i will defo not be wasting time doing a JAA conversion out there. Will do it in teh UK. I have my ATPLs done with Bristol GS, highly recommended. Get those done and then convert in the UK or europe somewhere.
PMG