From the trailhead where California and Placer Gulches join, walk south up the road that heads up Placer Gulch. If the road walking is too boring, you could walk down in the creek bottom. The willows are not too bad. As the road approaches the Gold Prince Mine, take a few minutes to look among the ruins, then continue following the road to a somewhat flat area at 12,600 ft., where the road will turn sharply east. (Parking available here for 4WD.) Continue along the road, now heading east for about 1/3 mile to a saddle that overlooks Parson Lake. From the saddle, chose your route up either the west flank of UN13,075 or contour around a bit to the north ridge and follow it south to the summit. From the saddle, the 400 feet of gain will be mostly on tundra, then when you reach the summit ridge, you'll have a little bit of rocky rubble and chiprock along a narrow ridge to manage before arriving at the summit.
Return by the same route. If you're in a 4WD and have parked nearby, (the saddle overlooking Parson Lake is a good spot), you could continue driving down Picayne Gulch and rejoin CO 110 a little over a mile south of Animas Forks. Going down Picayne Gulch won't put your vehicle to as much "test" as driving up. This is a very steep road in places, but when we drove it, we did not find it to be too rough.
Bonus Points: It would hardly make any sense to not climb Hanson peak when climbing UN13,075. So include it if at all possible. In addition, California Mountain, which lies north of Hanson, is classified a "soft rank" 13er. As easy as it is to get to it, it might be worth a little extra effort to do so, and you could easily descend east and rejoin the Placer Gulch road to get back to your vehicle.