Antiques in Colorado Springs is the only pool room of merit in the Springs. It has been very slow there lately and may not be much "action" if that is your thing. If you give me a heads up I would come down and play some.
Patty Jewett public golf course is something like the 2nd oldest golf course west of the Mississippi. I'm not a golfer, but I love going to their club house and grabbing a beer there, great outside seating. I think they have two 18 hole courses. You might make reservations, if they take them, because it fills up fast. I used to be a grounds keeper at the Broadmoor and you guys will like that, but I'm sure it's pricey....(while at the Broadmoor, make plans to go to the Golden Bee - great bar transported from Europe. If you like a good, but expensive Sunday brunch, try the Broadmoor brunch, but make reservations in advance. Probably $60/person by now )
As mentioned earlier Mile high billiards and Felt are your best pool rooms in Denver.