Ned
You don't say which silhouette match you're shooting. I take it from the 10-22 reference you are thinking about "Smallbore Rifle Silhouette". This, I believe, uses 1/5 scale animals shot at 40,60,77 and 100 meters. They are very small. I shoot this occasioally with my 10-22 topped with a Leupold Veri-x III 3.5 - 10 scope. Most of the shooters use an Anschultz or one of the CZ models. Now if you are thinking of "Cowboy Lever Action" most of us use a Marlin 39-A. It is open to any rifle with a tubular magazine except bolt actions. Pump actions will qualify. This is shot with open sights on 1/2 scale animals at 40,50,75 and 100 meters. Some sort of peep sight and Lyman 17 Globe sight is commonly used. It is 2.5 minutes per 5 shot string by the way. I ran a fun match this summer using 1/2 sacle animals and filled in for the air pistol silhouette director several times. Either game you want to play is going to take a rifle with good sight adjustment. I don't remember the bullet drop with high velocity ammo, but standard velocity has somrthing like a eight inch drop form 40 meters to 100 meters. The smallbore rifle silhouette shooting just about requires a scope.