Yellowknifedave
The icefishing is great. You should do some of that. I can't remember the season dates, but small game may be a possibility. Check out the territorial government webpage. There is tons of info there on hunting and species available.
If you go snowmobiling, you will see tons of ptarmigan; maybe a few spruce grouse. Icefishing though, you should get lots of lakers or pike.
YKD