I travelled down the Montezuma Creek road (CR146) on June 18, 2012. While there I got to see a few interesting ruins (Three Kiva Ruins, Bradford Canyon Ruins, and the Honeycomb Granary) and some rock art.
Sadly, about 20 miles down this 40 mile stretch of dirt road leading from Hatch Trading Post to Highway 191 I found myself with two flat tires (obviously I only had one spare). Fortunately, after hanging around the vehicle for 5 hours, and just moments before I was going to start hiking out, an archeology professor and grad student drove up and helped out. They were able to drive me to Monticello where I was able to get one of my tires fixed. They told me that Montezuma Creek was so rich in rock art that it would take days just to get to it all. I'm aware that the stuff I found is rather mundane compared to some of the spectacular stuff that is there. Sometime I'll need to get back there and spend some serious time exploring. I might take a few days and go up and down a lot of the side roads that branch off of the main CR146 road. These side roads tend to lead to ruins and rock art.
I get the sense that only a few vehicles travel this road on average every day (weekends may be better). This isn't the kind of road you want to get multiple flats on.
The Honeycomb Granary is very difficult to find and it's a miracle I didn't pass it up. Even if you drive very slowly it will only appear briefly from the road for a few seconds up on the cliffs before vanishing behind portions of canyon. I didn't take a GPS coordinate on its location but I know roughly where it is. It is basically between 1-2 miles north of Bradford Canyon Ruins. That is just FYI for in case you want to visit.