Drive or hike to near the end of the 4WD road. Where it turns west and stops on a little knob, hike north-northeast on a faint trail below a talus slope on your east side. This trail soon becomes more visible. It leaves the trees and you enter a steep, rocky gully. Follow this gully up. Usually it's easier to stay in its bottom when going uphill.
If you keep going to the saddle, Talking Mountain (a little bump in the long Tuk-Peale ridge) will be on your left. Rather than continuing to the saddle, you could also detour upslope towards the skyline east of you, out of the long gully (start up where you first start encountering tundra). Several trails thru talus lead on around towards Peale, which is sometimes hidden from sight.
Tukuhnikivatz: Park a little short of the end of this spur road, and cross the small creek west of the road. Climb up onto a meadow for a view. To your left you'll see vestiges of an old mining road which can be used as a trail from La Sal pass. Where it ends, to your west you'll see a low saddle. Climb up to it, then turn north and follow this ridge up to the Talking-Tuk saddle, turn west, and find a zigzag route up thru rocks to Tuk's summit. It is steep, but there are no cliffs, and a faint 'trail' helps.
Mount Laurel: This peak is north of Talking Mountin. Hike to it along the long ridge which connects Peale and Mellenthin, the highest mountain north (at least in southern part of La Sals) of Peale and about two miles away.
Mellenthin: You can climb Mellenthin from all sides, but the easiest is from due south in Dark Canyon Basin (Dark Canyon Basin is on the east side of the LaSals). Instead of turning off Canopy Gap road continue north about 3 miles, and turn west onto Dark Canyon road (sign at junction). Several miles further turn right at an unsigned main junction. Soon after passing Dark Canyon Lake, which is downhill from the road, at another junction go left. Soon 3 faint roads turn left, uphill. Take the third one, and follow with your 4WD as far as able.
Hike generally NW towards Laurel-Mellenthin saddle on your skyline. It is steep getting onto this saddle. You'll encounter natural gravels and tundra, and there is no real trail as not many people use this route. Once on this saddle, follow the more obvious zigzag route thru talus onto Mellenthin. It takes about 2 hours to get onto Mellenthin this way. Return the same way, or cross Mount Laurel and find an expert route back into Dark Canyon Basin.