Good thing. It's raining today.
If you don't mind commercial glitz, there's an ESPNZone downtown, about five blocks from the Hilton Garden Inn. (12th and E, you'll be on 14th and H...walk south from H to E, turn left, walk two blocks). I don't know how the wings or men are...but rowdy's a good bet, and they're likely to have something good on tap.
Other than that, I don't know downtown sports bars well at all.