Listen and listen good! I have done this already so I can give you the one, true, reliable answer! First of all, you can sit for the NCLEX in any physical location that you want to. You can even take it in certain foreign countries. Where you are geographically located when you go in on that special morning and take that test has no relationship whatsoever to where you get your license. So you will take your exam in whichever state you are living in when you are good and ready to take the test. (I went to nursing school in Texas and graduated in Texas, then moved to Missouri and took the NCLEX a month later in Missouri.) Hopefully that right there will be a load off your mind. You won't need to do any traveling to take the test, just take it wherever you are when you're ready to take it.
Now about the license. Everyone is correct that you can only apply to one state's board at a time. Cease and desist all thoughts of trying to handle this through reciprocity! That's meant for people who's situations are different from yours, e.g., live on a state border and need to be available to work in both states, or will be moving temporarily to another state. In your case, just register to have your NCLEX results sent to the board of whichever state you're going to be working in when you graduate (Georgia, if I read your posting correctly). Done!
To summarize: I believe your situation is that you are going to stay in Florida to finish nursing school, and after graduation you will join your husband in Georgia. So while you are still in Florida, you will want to register to take the NCLEX, but on that registration, you are going to mark the box next to "Georgia" when they ask you where you want your results sent. (Keep in mind that registering to take the NCLEX is a separate step from *scheduling* your actual time to sit for the NCLEX -- at this point, you are only registering to take the exam, not scheduling an exam date.) Graduate in Florida, move to Georgia, take a few weeks to catch your breath, then schedule your actual exam at your nearest Georgia testing center. Easy peasy! Don't forget to start looking for Georgia work when you start your last semester in Florida (you can do it!). Call HR departments of facilities near where your husband will be living, tell them you are graduating in May (or whenever) and moving to Georgia, and you're interested in finding out what kind of program they have for GNs. That's a great, non-threatening way to start a conversation with someone in HR and build a rapport. If you do it well, by the end of the conversation they'll be saying, "Hey Pam, now I know that our ortho floor is going to be hiring people. Keep in touch with me and I'll let you know when those jobs are posted." Keep in frequent (but not too frequent) contact (maybe every 3 weeks). That way, when you apply you are not an anonymous person from another state; you're that go-getter who's moving from Florida after graduation (it's a connection!). Let HR people know that you will be in Georgia over spring break (or whenever) to interview. This is the technique I used and I had 6 interviews lined up for spring break in a very crappy economy.
Good luck! Georgia has a lot to offer.