You will still have a resident state however there may not be a filing requirement. You have ties to NY with a NY driver's license however you have not been in NY or earned any NY income. Also it appears you have a mailing address and family in TX and those would be factors to TX being your resident state. TX does not have a state income tax so there would be no filing requirement there.
On your return I would indicate TX as your resident state. Your address can be overseas or the TX mailing address. You may at some point register to vote and get a driver's license in TX to further establish TX as your resident state in case it ever comes up.
This is standard practice among US ex-pats; establish residency in a state with no income tax, like TX.
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