Im pretty sure u can do it 2 ways. Register in ur home state and sign affidavit of it not being in the state to excuse emissions test.

Or. As i have done. Register it in GA with the address on your state DL. Your out of state DL shudnt matter.

I currently have multiple vehicles registered in different states that i do not hav a DL in.

Iv had GA reg cars wth a CA DL. CA registrd cars wth a GA DL. You should register the car where you operate it. This facilitates emission/safety inspection compliance and road tax compliance.

But all my registrations show the address on my DL.