Changing your domicile to a no income tax state like FL, TX or SD will prevent this, if your old state agrees that your domicile changed. States will argue that you never really intended to live in the new state, that it was just an attempt to dodge taxes and they will still collect state tax (burden of proof is on you, not your old state). There is not a magic time of 6 months or 1 year in new state that automatically is accepted by old state as changing domicile. And, it does not matter if you have satisfied your new state's residency requirements. Everything depends on you convincing your old state that your domicile actually changed.
There are a ton of tax / attorney sites with articles about changing domicile properly, to reduce this risk. Horror stories like folks overseas, even for an extended period, owing state back taxes when they return are also easy to find. High income tax states like CA, NY, HI, MN, SC, VA and NM seem to show up in these horror stories more often.
Unless you intend on making very little (such that the standard deduction would be the better option), I'd think this would be your best bet.
https://www.irs.gov/individuals/international-taxpayers/fore...