You have timing and luck. According to a coworker the Oak Ridge Sportsman Association is starting a bench rest shoot the first and 4th Saturday of the month at 10am at the indoor range. Supposedly anything goes, open sights, scope, just has to be .177 shooting at reduced 300 and 600 yard targets. Cost is $2 per round and they provide the targets
Yup, I'm close to Knoxville.