I've used bows and arrows before. Bows don't make much sound when drawn. It's a very, very quiet creaking noise, you're not going to hear it unless you're right next to one.
A crappy bow do make more creaking noise. Of course, a crappy bow could very well snap when drawn (which would be really, REALLY bad for you).
Think of how damaged skeleton bows are when they drop them. I'd say they're pretty crappy