Author Full Detail Guide
This may or may not be possible.
It's definitely possible up to the base of Amethyst Peak.
Terrain to base of peak "appears" to be easy off trail.
View 2nd map below for details.
Check out the Triplogs.
This is a difficult hike. Arrive fit and prepared or this could get ugly.
WARNING! Hiking and outdoor related sports can be dangerous. Be responsible and prepare for the trip. Study the area you are entering and plan accordingly. Dress for the current and unexpected weather changes. Take plenty of water. Never go alone. Make an itinerary with your plan(s), route(s), destination(s) and expected return time. Give your itinerary to trusted family and/or friends.