Even though your accuracy is similar with both weapons, the bow is still going to be the better trophy IMHO. You don't have to draw a pistol like you would a bow, you can shoot through much smaller holes with it without as much fear of hitting branches and the follow-up shot is immediately available as well.

Of the 6 deer I've taken so far this year, half of them were taken during one of the firearms seasons . . . with my bow.