Mount Mueller is a modest 3,748′ peak on US National Forest land, just outside the Olympic National Park. It’s about 4 miles up the Mount Mueller Trail from the roomy and low-key Mount Mueller Trailhead. There is shortcut & alternative access too.
The extended trailhead facilities (it’s a horse and bike trail too) is a couple-few tenths of a mile back off US Highway 101, a couple miles west of the Olympic Hot Springs Road turn-off, a couple more beyond nearby Lake Crescent.