Anchorage is a great town, plenty to do, beautiful scenery, minutes from being lost in the woods. Surprised at the bad rap given above.
Anyhow, you've already picked you hotel and you picked well, any of the other Spenard Ave. hotels are a dump and that's being polite. The Holiday Inn might be tolerable being the only other exception. The good news is there is some good eating just down the road a short cab ride away, REI and Sportsmans Warehouse (in opposite directions) aren't too far if there is any gear you forgot to bring.
I know you'll just be in and out of the town on either side of hunting but here's just a couple places with good food close by...
Taproot, decent food, live music every night, huge Whiskey/Bourbon selection and lots of local beers
The Bear Tooth, great food and pizza, one side is a pizza place and movie theater and the other side is a great restaurant as well. They serve their own beer, famous all over Alaska
Spenard Roadhouse, a newer restaurant in town with really good food, tater tots and bacon, great beer selection and a killer bloody mary
Now no one has asked the obvious question, where ya headed for your sheep and who ya going with?
Best of luck