The aptly-named Switchback trail provides a shortcut to Mount Angeles and views of the Strait of Juan de Fuca, Port Angeles, and the surrounding area, but it comes at a price. Just 0.6 miles long, it climbs 700 feet from the parking area (more of a pullout) on Hurricane Ridge Road to the junction with the Klahhane Ridge Trail, where four different destinations lie at your feet.
From the parking area, set out on the Switchback Trail, perhaps pausing to read the interpretive sign at the trailhead. It's a relatively well-maintained trail, but any route this steep is going to be rough.
Push through the first forested section of trail, and after about 0.3 miles, the woods break up and offer more views. Continue huffing and puffing your way up and up, until just another 0.3 miles later, you arrive at a junction.
Here you have a choice -- head left along the Klahhane Ridge Trail, where eventually you'll arrive at the Hurricane Ridge Visitor Center. Or you can push on a further 0.8 miles (and 600 feet) to a junction with the Lake Angeles and Heather Park Trails. From that junction, it's 2.5 miles and 1400 feet down to Lake Angeles (which of course you'll have to make up on the way back) or it's 1.4 miles on a narrow, rugged footpath around Mount Angeles to Heather Park Camp.
Either of these ways promise to be picturesque but challenging, and there is no loop option. As far as you go from this junction, you'll need to retrace your steps back down to the trailhead from where you started.