Goat Lake starts at the same trailhead as Sawtooth Lake and Alpine Peak that my brother and I did a few months ago. The hike was around 8 miles and most of it was in the fog. Luckily though the end was above the fog and so I at least got some nice views of the lake and area around it. I started pretty early so that I could get it done and get back home.
Nice hike and nice lake. Not as big as Sawtooth but worth the trip up for sure.