Chuck,

There'd no reason to feel that accuracy is not achievable without a peep, even though you shoot fingers. Shooting and perfecting your form is the key---doing the same thing for every shot. Try to get a look at how Olympic shooters shoot their recurves. I've seen movies of them shooting 5-6" groups at 90 meters (100 yards) with nothing on the string but a nockset, relying completely on a coinsistent anchor.