Wilson Mountain Loop is a 18 mile round trip hike with 3,600 feet elevation gain. Located 22 miles south-southwest of Flagstaff Arizona. Trailhead access is via a dirt road which is typically car accessible when dry. April and October are the best months to enjoy this hike.
From Brins Mesa TH, I'd recommend hiking clockwise on Brins Mesa, 2 miles north along Dry Creek Rd, to east on Vultree Arch trail to saddle, down Sterling Pass trail, south along Oak Creek or 89A to North Wilson Mt trail, climb up to the first bench, take an extra 3 mile sidetrip up to Wilson Mt if you have the time & energy, hike down South Wilson Mt trail, across Wilson Canyon to Jim Thompson trail, and finally hike by Steamboat Rock back to you vehicle.
This is a difficult hike. It would be insane to attempt this entire hike without prior experience hiking.
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.