I think you are going about this wrong.
The point of a Registered Agent for a company is that they are the person designated to receive legal communications for the company within the state of registration. A company must have one to be legal. They do not have to be the owner or manager, and often aren't. You have to provide both a Registered Agent and a Registered Address within the state when you register the company. The agent is required to be available at the address during business hours. If you name yourself as agent, and you are not actually present at that address, you could be in violation of company law.
For a company with a physical presence in the state of registration this is not a problem. You register yourself as the Registered Agent and the place where you work as the Registered Address. Almost everyone else hires someone else to act as Registered Agent. These services cost a few hundred dollars a year, and give you an actual physical address (and a mailing address) where you can be contacted, as well as compliance with the law. You could theoretically get a friend to do it, but by being the agent they acquire certain legal responsibilities, and they do actually have to be at the address during business hours.
Lots of companies exist to provide non-resident owners with Registered Agent services for when they live out of the state. They provide you with a street address within the state of registration, name one of them as the Registered Agent and pass on communications to you wherever you live. This ensures that you comply with the rules.
This gives a summary of the reasons for having yourself or someone else as Registered Agent. Here is another.