Another option for you. Check out the Stern’s review on June 14 of the Buckhorn Exchange. Ironically, I had thought about recommending the Buckhorn to you, but it is not close to the airport. However, once in downtown Denver, you could catch the light rail at the convention center which not only goes past the Buckhorn, but has a stop right at the front door.
I will be visiting Denver next year and will be checking out the Buckhorn Exchange. What are your thoughts on "The Fort" and "The Rocky Mountain Diner"?