Something that might help: a map or Google Earth. Just look for some mountainous areas and look for roads that are twisty and have decent elevation changes.
This is correct. I know of many personal favorite routes, but the origin and destination are important inputs. Are you willing to drive an hour or more to get to a fantastic road with nothing else, or do you feel like you need to actually be going somewhere to feel like the trip is worthwhile?
As a welcome to Colorado, I'll give you a clue for a great driving road that's situated between Colo Spgs and Denver. Go to google maps and search for Deckers, CO. Just about every sport bike, Harley rider and sports car enthusiast knows about this route, and it seems that the State Patrol knows that they all know about it too. It is one of the finest driving roads you'll find within a quick drive from the Front Range.