Here is Virginia's law regarding residency for tax purposes:
A person who lives in Virginia, or maintains a place of abode here, for more than 183 days during the year, or who is a legal (domiciliary) resident of the Commonwealth, is considered a Virginia resident for income tax purposes. Residents file Form 760. https://www.tax.virginia.gov/residency-status
A rented house would be considered a "place of abode". And note that the definition says nothing about having or not having a Virginia driver's license.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
