Just happened to think of this at the last minute. There are three aviation museums to visit during your stay at NARAM 56, one each in Pueblo, Colorado Springs, and Denver.
Denver: Wings Over the Rockies Aviation Museum (pay):
https://wingsmuseum.org/
Pueblo: Pueblo Weisbrod Aircraft Museum (pay)
https://www.pwam.org/
Colorado Springs: Peterson Air Force Base Air & Space Museum (free)
https://petemuseum.org/
Call 719-556-4915 at least 24 hours prior to visiting the Peterson AFB museum (open Tue-Sat 9AM-4PM) to arrange for them to set you up with a visitor's vehicle pass (it's an active AFB with major aerospace commands on it). No scheduled tours, they just do them on demand and the guides are retired USAF who are extremely knowledgeable. They have various aircraft including the very first AWACS aircraft, a Lockheed Constellation, the only one still in existence, that you can go inside. It's fully restored including all internal electronics by the radar operator and two former Constellation pilots who are now volunteer guides at the museum. They have a Minuteman III launch facility trainer, a Minuteman III, Nike Ajax, and Nike Hercules, and various other air and space defense stuff.
The museum location on Peterson AFB:
https://goo.gl/maps/7NHXu
The base gate with the visitor center where you'd pig up your vehicle pass:
https://goo.gl/maps/lIubI
The impressive buildings (Air Force Space Command HQ, US Space Command HQ, and Army Space Command HQ) by one of the gates you are allowed to go out (you can't pick up your vehicle pass there because there's no visitor center):
https://goo.gl/maps/73Qos
As you head south on I25 from Colorado Springs on your way to Pueblo, you'll see this to your right (west), just one of the many likely nuclear war ground zeros in Colorado Springs:
https://www.norad.mil/AboutNORAD/CheyenneMountainAirForceStation.aspx
Two other extremely important aerospace related military bases in CO, but you ain't gettin' on either of them, I don't think, nor would you have any legitimate need to do so. At best, rubber necking from the road only and don't stop:
https://en.wikipedia.org/wiki/Schriever_Air_Force_Base
https://goo.gl/maps/iGmEi
https://en.wikipedia.org/wiki/Buckley_Air_Force_Base
https://goo.gl/maps/iGmEi
