I live near jackson, Adrian actually. I would suggest a H&R Ultra deluxe in 12 or 20 gauge. If you get the 20 guage you would be able to swap different barrels for birds and small game.
The ultras are a bit heavy, but they are pretty accurate and handle recoil well. If you were going to do drives it would get a bit heavy. But for stand or blind hunting they are great. I have the 12 guage model with a 1.75-4x32 bushnell trophy on it. You can get them for between $220 and $280 dollars depending on how nice you want it to look.
Inline Muzzle Loaders are pretty popular around here. I have one of these as well. That is what I used before this year. With the proper load they are very accurate and reliable out to at least 100 yards. Twice that sometimes if you play with them enough. A little late in the game for that though if you want something for this season. You will even need some time to find the right ammo with a shotgun if you get one.
If you live in the area I can suggest a few shops that are great and I love dealing with.
Schupbach's Sporting Goods Web Site
Address: 141 W Pearl St, Jackson, MI 49201 Phone:(517) 782-8418
Johnson's Sporting Goods
Address: 3654 N Adrian Hwy, Adrian, MI 49221 Phone:(517) 265-2545
Cleland's Outdoor World
(419) 865-4713
The above is in Ohio just outside of Swanton on Airport hwy.
Schupbach's is awsome, and it's right there in jackson. I do most of my archery releated shopping there. I have bought two bows from them.
Johnson's is right down the road from me and is a nice place as well. I have purchased several guns from them including the slug gun I mentioned above.
All of these shops are family owned and ran with gunsmiths on sight. They have good values and a great knowledge of what works for your needs.
There is also Cabelas not far away and a gander mountain in toledo not far away. There might be one in michigan close too? I have had pretty good luck with those as well.
Here is a link to a thread on my slug gun.
http://www.huntingnet.com/forum/tm.aspx?m=1156994&mpage=1&key=H%26R%2cUltr a��
Good luck,
Paul