Shades of Green will sell you the same exchange voucher that you get at TDS or at the gate. Either way, you will have to go to Guest Relations at Epcot, MGM, Magic Kingdom, or Animal Kingdom and show your proof of Florida residency. It is only here that definitions of residency come up.
Your husband can show his current FL driver's license and will have no problem. Guest Relations does not care if he's in the military, and it is probably to his advantage not to volunteer that he currently does not live in Florida. You will have to provide one of the following:
Florida driver's license
Florida state-issued ID card (must have Florida address)
Current utility statement with your name and Florida address along with a corresponding picture ID
Florida voter's registration card with corresponding picture ID
A college ID for a Florida college
Florida-based military ID
If I misunderstood, and you are military members currently living in Florida, you are afforded Florida residency while you are stationed here.