As I'm sure you're aware, there are numerous ways you could do this.
Access is not a bad idea, but you could use Excel just as easily unless you ARE going to go with a bar coding system, then I'd probably stick with Access. For hard copies, we have all of our drawings in 11x17 binders and the masters are printed on yellow bond paper. When a drawing is signed out to someone, the yellow is replaced with a white copy and a stamp is placed on it saying who it's signed out to, for which project and when, etc. It remains in there until the project is complete.
That's one idea anyway...not the best, but...an idea...
Hope that helps,
Mike