Last year I scouted for about 8 days in area i KNOW WELL to find the buck I killed. It also helped me pattern elk that live there as well. My buck was dead within 24 hours of our arrival to the spot and I had seen several other deer that we had scouted. With your quarry being elk, and how much they move I would scout. Knowing where they were helped me kill last year.
Some things to consider, the big bulls are still in their hidey holes prepping for the rut right now, but those spots tend to be where they go to recover. The cows on the other hand are hanging out in their nurseries with a ton of grass feed and close to cover. Generally speaking the big bulls will let the little bulls round up the cows, then go and take them splitting up big herds. A lot of my friends who are die hard archery elk guys really like to kill the big bulls when they wake up to the rut and are looking for the big herd. Once they find the big herd and take their cows you are fighting the odds with their numbers but the satelites and smaller bulls working the edges are vulnerable. After the big group is split up is when a lot of guys find rut fests, I watched 16 six point bulls one year work about 10 smaller groups of cows all in one basin. After the first cycle cows are bred the big bulls start cruising looking for second cyclers. This is when a lot of the good rifle seasons open, bulls still bugling and on the move. After this they shut down and they tend to bachelor up again to recover from the rut and get fat and happy. Edges of black timber in secluded holes and hillsides is where they tend to hide. The cows usually chill in the same spot until its time to migrate out for winter. Guy goes in depth on this in Elk Hunting The Rut, I think we sent this out as part of a survey.
Here are a couple video examples that hopefully help.
In this one Guy finds a bull that was cruising after the rut checking groups of cows. The bull was cruising later in the season looking for second cyclers.
This video has a great example of the big bulls showing up and splitting the cows:
Here is an example of bulls together after the rut: