IMO, you have left it a little TOO wide open.
How do you feel about a double action versus a single action? They have a very different feel in the hand. Some people like one and not the other and you need to be sure you don't end up with the "wrong" one.
"Hunting deer" is pretty broad as well. You can treat a handgun like a bow and then a 4" revolver will work fine. You are trying to get the deer within 35 yards and surely the difference in sight radius isn't going to make or break you there! But some guys get a 9.5" Super Redhawk and put a scope on it. Those guys are killing deer out to at least 150 yards. More like a short rifle that really needs some kind of rest.
From a caliber standpoint we seem to have gotten the usual split. Those who think the .357 is "big enough" to hunt deer versus those who think a .44 Magnum can really be a good gun for "social work." The funny thing is, there is a caliber in the middle! A lot of us thought about this "too little on one end" and "too big on the other" and went with a .41 Magnum. Just about everything you can get in .44, you can also get in .41. Might have to look but it is actually kind of nice to have something different than everybody else.
If I was personally going to have to pick one revolver for deer hunting in the day and self defense at night I would probably go with..... hmmm.
Single action: Ruger Bisley Hunter. Something like this:
http://www.auctionarms.com/search/displayitem.cfm?itemnum=6201953 (The real dream gun would be a Freedom Arms but I don't think I have that kind of money!)
Double action: that's harder. I love the Redhawk in .41 but they are getting hard to find. (Quit bidding on them people! They're mine!) One of the older S&W 657's without the underlug barrel in 6.5" would be nice. Like this:
http://www.auctionarms.com/search/displayitem.cfm?itemnum=6294952
This one would be nice if you like the longer barrel. Can't imagine it for "defense" though!
http://www.gunbroker.com/auction/ViewItem.asp?Item=26553770
Enjoy the hunt! That's the best part.
Gregg