that's 20 min in normal weather. not in blizzard rush hour traffic. If you get in a cab right now be prepared to drop some coin and at least an hour.
You aren't in a place where you can walk anywhere either. If you go west on 55th there are a few bars. Metro mix says Bohica Bar and Grill has a pool table.
Bohica Bar
5518 S. Archer Ave
Personally I wouldn't recommend going out around midway, but I don't know what crowd you're used to.
Red Shoes may be your best bet, but if it's snowing anywhere near what we're getting a little farther up north be prepared for a long haul...