How 'bout a target competition (e.g. Bullseye Pistol, High Power Rifle, Smallbore Rifle)?
Shooters are lined up to shoot, rather than having to wait on each other. May not give you the same adrenaline rush, but they're plenty tough, and plenty of focus is needed. Plus, depending on your situation, you can likely keep overall practice time and ammo costs down by practicing at home with a good air pistol or rifle, or a rimfire understudy.