I know of several, done before the Internet was very large. I will try to find an electronic copy and synopsis. One of them, of deer hunting over several years in the Deep South, compared about 38,000 deer killed by 38,000 killed by firearms, IIRC. It logged wounded deer, deer not recovered, found or not found later, etc. Bow hunters had about the same, or lower, wounding and non-recovery rates than firearms hunters. That may be due to the close ranges of the shots. I think Penn State did a large study there, but Pennsylvania only has about a 10 day season, whereas the South has seasons from September 1 to December 31.
Just search for something like, "archery deer harvests" by state or area.
Here is a very controlled study on a plantation.
http://www.seafwa.org/resource/dynamic/private/PDF/MORTON-432-438.pdf
The sea islands of the Carolinas and Georgia, with no predators, are maintained by bow hunting, so there are precise records, because the hunts are by draw, and everyone signs in and out with results of deer seen, shots taken, and kills.