Chalk Rock Mtn. is sequenced with Mount Kreutzer and our route description also takes you over an unnamed 12er. One-way mileage and elevation to Chalk Rock are measured from the summit of Mt. Kreutzer. Round-trip mileage and elevation gain assume completion of the sequence which includes the unnamed 12er.
The hike over to Chalk Rock is a pleasant stroll over mostly tundra with some embedded rocks and another rubbly summit. There are several small ups and downs to deal with, but the expansive views in every direction keeps your attention diverted to the views rather than the inconvenience of the extra elevation gains. Snowbanks on the leeward side of the ridge offer some brilliant contrast to the greening tundra. Summer flowers may be beginning beginning to emerge in June/July. From the summit of Kreutzer, Emma Burr Mountain looms above to the south. As you walk along the ridge to the north, you may also gaze down into Sanford Basin on the west side. We had hoped to spot some elk down in that remote location, but never saw any.
As mentioned before, the walk is on mostly tundra, with the final approach to the summit of Chalk Rock giving way to rocky rubble. Along the way over, we crossed an interesting area of exposed gneiss with large quantities of quartz laying on the ground. You can easily see Cottonwood Pass to the north. Once on the summit of Chalk Rock Mtn., a somewhat dramatic ridge extends east over to Jones. This ridge drops steadily and becomes seriously narrow with a cliff on the north side. It might make an interesting hike over but threatening weather advised us not to attempt.
The descent we utilized included tagging the summit of an unnamed but ranked 12er west of the ridge that connects Kreutzer & Chalk Rock. From the summit of Chalk Route, walk back to the south along the ridge for 1.1mile until you reach the intersection with the ridge that extends over to UN12,730. Hike west along the ridge crest losing about 600 feet in elevation on the easy ridge walk. Continue following the same ridge west as it curves upward and turns more NW. The total traverse is about .7 mile and you'll need to regain about 400 feet in elevation to reach the 12er summit from the saddle. If you don't want to go to the summit of the 12er, it's an easy descent from the saddle straight back down into Garden Basin with some willows to contend with which can be avoided by skirting them on the edge of the forest on either side.
Or, from the summit of UN 12,730, it's easy to descend south straight down and intersect the Continental Divide trail which will take you back to the creek crossing (managed to do this without removing boots) and then follow the Garden Basin trail back out to the trailhead. There are really any number of ways to get down.
Links to other information, routes & trip reports for this peak that may be helpful.