AZT my friend: http://www.topofusion.com/azt/aztr.php
Probably a lot of misadventures of Mike Curiak as well?
I have lots of trips planned for things like this - Colorado mountains and the passes that lead up to the trailheads are perfect for riding your bike to the top of the pass (think, for example, Guanella Pass), climbing say - Bierdstad, traverse over the Sawtooth, climb Mt. Evans and ride back down the Mt. Evans Scenic Highway, making a HUGE loop, if you start in Denver. A mixture of road riding, mountain biking, hiking and scrambling.
* doing the 10 mile range, from peak 1 - 12(?) - hike/traverse would be from Peak 1 - 3, the rest is somewhat rideable.
* Starting in Frisco, riding up Loveland Pass, hiking to Grays/Torreys, (jumble mumble mumble) to Argentine Pass and ride home.
* Ride to St. Mary's Glacier, hike up la Plata Peak, to another trail that goes (mumble mumble) to the SnowMass Side/HW 40 and connect.
* The entire Colorado Trail, hiking the parts in Wilderness (someone's done this, at least in parts?)
None of these would be races, although getting the mythical Known Best Time would be kind of rad. Hucking up a bike - ANY type of bike in Cat 3 Scramble is not for the faint of heart! The legality of going through National Parks/Wilderness zones with a bike strapped to your pack is also a little blurry. Most likely, you'll piss off a lot of other hikers and probably get fined. It opens up a fairly big pandora's box. Certain code of ethics should probably be followed (do this type of activity on the deadest times of weak, accept that it's illegal, do no harm to the hiking-only trail)
Riding/Hiking the CDT would be interesting. So would hiking as close to the Continental Divide magic imaginary line would as well. Props for being as close to it as possible with the least amount of gear and perhaps least amount of time. Again, legal issues with private property and you'd be scaling mountains The Wrong Way quite a bit. Which, I guess is the fun of it.
Man, I gotta tell you, one of the weird thoughts in your head when doing the GDMBR is that "these roads are so WIDE" and it's sort of a bummer. All the "Singletrack" parts are not so much fun - the part in Canada was hilarity.
Of topic, but who's the mythical happy sticker placer around the GDMBR? Helpful little bugger!