I finally got a pickup last year. I'll concur with others -- a quartered deer isn't very bloody. Pack it up in an ice chest or two and you can keep it pretty clean. Hauling a deer out whole, only gutted, is a little messier, though. I had to rinse & scrub out the pickup bed this year.
As for the bow, I've often just laid it in the front passenger seat. With one tip on the floorboard and the other on one side of the headrest, you can fit any normal-length bow. If you have a buddy in the car, he might feel a little cramped but it's still workable.
It's really amazing what you can do with a small car if you take the time to do it well. I've taken a bike, a long surfboard, business attire and casual clothes for a week all in a Prius. I used to pickup swarms of bees in a little Subaru (strapped to the top). A pickup certainly makes life easier. Now I don't think I'll ever be without a pickup again. But, somehow, I always made the little cars work.