The answer depends on how your specific state defines tax residency (for example California is notoriously difficult to escape).
Generally the rules will be something like you remain a tax resident of your old state, regardless of how long you stay abroad, until you establish a new permanent tax residency (whether in a new state or country).
What I eventually did is return to the US, sign a 1 month lease in Florida so I could get a drivers license and register to vote, and then return abroad. According to my tax accountant, that was enough.
