Do you have a friend in AZ. or Nevada? Ask them if you can use their address to register the car in their state. They would receive the renewal notices and any other DMV related mail and have to forward it to you somehow.
You would obviously have to go to the DMV in their state to transfer it. It's technically illegal to have a vehicle registered in another state but as long as it isn't an exotic registered in Montana, most cops don't seem to give a schit. YMMV.