My son had the youth tag back in 2011. It is a fun hunt and a very unique experience.
For his hunt I scouted for about 5 days. Then the day before the season, mom put him on a plane after school and I picked him up at airport in Albuquerque. We got back to the base of the mountain opening morning just in time to start hiking up.
We blew a stalk opening morning (our fault because we spent too much time trying to decide which of the 8 billies to shoot). However, that afternoon we got into a small group of billies and he made a perfect 305 yard shot.
You can drive around the base of the mountain and glass up a LOT of animals but getting to them can be difficult and other hunters will likely be on them or spook them before you can get to them. We decided to get up on the mountain and then glass for them.
I think if you are looking for the biggest billy then glassing a lot from below is probably the best method, but for us we weren't too concerned about shooting the biggest billy on the mountain but rather shooting a respectable animal and enjoying the hunt together.
RetiredArmy Guy gave you some good advice for a good way to get up the mountain, but there will be lots of people coming up that route so expect company. It is a rough road. We watched two ATV's drive up that road. One was an overloaded 4-seater that ended up breaking an axle. The other was a side x side that had difficulty in a couple areas. So even with an ATV it is a nasty route.
Good luck and enjoy the hunt!!!
BTW - my wife and I allowed our son to take a week off from school for his hunt. I had a CO mountain goat tag with concurrent season dates as his hunt. So since he harvested opening day he was able to go with me on my mountain goat hunt the rest of the week. He ended up glassing up what appeared to be a nice billy on the last day before he had to fly back home. The goat was too far away and we didn't have enough time remaining that day to put a stalk on that day, but I drove him back to Colorado Springs that afternoon to fly home and I returned and hiked back in in the dark and ended up shooting the goat he had glassed up the next morning.