That's exactly what I did when I got my AP in September-- used a bank statement.
I was bouncing between MA and FL for a few months before moving down here permanently in November and didn't want to be left in the lurch just in case FL confiscated my MA ID. Truth be told, I still don't have my FL ID six months and five trips later, and it's never been a problem when using the AP's discounts and such.
Leota- I am pretty sure both of you would need to provide something, but they make it super easy for you to do so.
Florida Resident Tickets:
Proof of a Florida residential address is required. For each adult ticket purchased, you may provide any of the following:
Valid Florida driver's license
Valid Florida state-issued ID card (must have a Florida address)
Valid Florida-based military ID
The persons who will use the Florida Resident adult tickets must be present at the time of ticket pick up. If you do not have one of the IDs indicated above, then for each adult ticket purchased you must provide one of the following dated within the last two months and evidencing a Florida residential address together with a corresponding picture ID (passport, driver's license, state identification card):
Monthly mortgage statement
Florida vehicle registration or title
Homeowner's insurance policy or bill
Automobile insurance policy or bill
Utility bill
Mail from a financial institution, including checking, savings, or investment account statement
Mail from a Federal, State, County or City government agency
Bills can be no more than two (2) months old. PO Boxes are not accepted as proof of residency. Current bills printed from electronic versions are acceptable, though photocopies and fax copies are not.