State sales and income taxes work differently. If you do work in another State you will need to pay sales taxes for that State. You will need to pay income taxes based on your residency. This could get complicated so you should consult a tax attorney.
Residency requirements can also become very complex. Even without a business, residency can be confusing. There is no one single factor that determines residency. You will need to look at the rules used by the State of Virginia. Having a business in Virginia is going to make it unlikely that you will be able to select another State in a remote location for residency.
Finally, it is all but essential to have an address in your State of residency. If you have a mailing address in one State and live in another, expect issues. Those issues often involve taxes, but there are others such as insurance and, as mentioned, voting.