You will be in a great area to hunt. Hunting the reservations is a bit different, with different regulations. If you are at Crow, you will most likely be staying in Hardin.
You will need to put in to draw your licenses for deer and antelope. The only thing you can buy over the counter as a non resident would be a doe tag. Put in for region 7 for your licenses, which covers all of southeastern MT. You can go to the web site at
http://fwp.mt.gov
Near Lame Deer and to the north and east is the Custer National Forest. Good for whitetails, turkey, mule deer, bears, and elk. Most of the ranchers in the area are pretty friendly and I know one near Lodge Grass that I could get you hooked up with.