Don't know about any rooms "by Teddy's" & I can't help you with that part, but if that doesn't pan out for you... I do know that as of a few days ago, there were still plenty of hotels in Denver with fairly cheap rooms... $40-$70 per night. Several with "pricey rooms" too.
Holiday Inn with the Teddy's bar will run ya about 175 a night with tax if you can find someone who has an extra one. Seems a little pricey, but if your payin cab fare down an back to teddy's that ain't cheap either. Scenery real nice at teddy's also.