Yes you can do this. I see it daily at work. My suggestion is obtain a lawyer. It will be the easiest way to do this.
You get the paper work, have him served. Depending on the Policies of the Prison he is going to will depend on how he will be served.
After he gets to his designated prison. Contact that prison and ask them how to serve him with divorce papers. They will tell you there process.
I do not understand why you can not have contact with him once he is in prison though. If you mean that your contact will be limited you are correct. But he will be able to call and write as will you be able to write him. You will also be able to visit him while he is incarcerated.
I know you are most likely not wanting to do that. But I was just letting you know this. Unless there is a No Contact Order from the Court.

