Dear Don:
Hang in there! While I realize that it's a matter of personal desire, you are quite capable of going after a bottle cap at 40 yards, with traditional equipment. Note, I didn't say me, I said you. I can't hit that well that far, but I can sure scare it real bad! At 20 yds. that bottle cap is in trouble! Not every shot, but enough to be interesting. This is because you have an aiming point to focus on.
Problem is, a deer is a blob to aim at, soft color, drab background, poor light, tough to get a focus point. Ground hogs are a lot tougher! If you're close enough, you can pick a spot, a patch of hair, or a point at the elbow. Somewhere around 20 yards, I'm at my limit. ( Closer if I had my druthers! )If the critters only had a nice bright orange price sticker on the right spot, it would be easier.
Compound shooters and Olympic shooters are using sights, and nice bright targets, different game entirely.
Given the desire, with the right equipment, and a little time stump shootin, you'd be fine. A little good coaching, from some one who really knew, would help. You'd bust any balloon you wanted to! Woodbutcher