What do you hope to accomplish by using an address in another state?
Where exactly would you use the address in the other state? On the employer's payroll records? On a Form W-9? On your tax return?
Be aware that the IRS shares tax return information with the states. If you use an address in another state on your federal tax return, that state will assume that the address on your federal tax return is where you live. They will then notify you that you have to file a tax return and pay tax to that state on all your income. But that does not excuse you from filing and paying tax in the states where you actually live and work. You will have to try to convince the tax authorities in the other state that you did not live or work in that state.
