Devon County SBRA runs a postal bench rest competition and you don't have to live in Devon to take part.
Normally shot over 20 yards, the comp consists of ten rounds at fortnightly intervals, you shoot two 10-shot cards per round on the same day, then send them off to the scorer and a while later you get your results by email. You can buy the target cards from the NSRA shop.
The rules are quite simple; no multi shots, the rifle can be supported at the fore-end only by a flat hard rest, not a bean bag. Either 177 or 22 cal but you must stick with one cal for the season.
My club has about a dozen members taking part.
Edit: I meant to add, you can shoot this at your own club, you don't need to travel.