A couple things I observed during my Tule hunt although it was on a spike tag. The spikes were hanging on the fringes of the bigger herds. So I had to work with a lot of animals in the vicinity.
My hunt was also during the rut and very hot (high 90's).
The biggest bulls will be with the ladies and very pre-occupied with them and each other. There might be a bull here and there that has a couple cows with him. There will probably still be a group of bachelors with some really good bulls that are resigned to "not gettin' any" and are hanging out, lounging somewhere in the vicinity. They are somewhat used to gauking humans at a distance as you probably have figured out, which doesn't mean you'll stroll right up to them by any means, but should allow you some latitude. As a bowhunter I'm sure you've got the patience and sneak-ability to get within range when the opportunity presents itself. Your biggest challenge will probably be that the animals are on the right huntable property for you to make a stalk and not laying a couple hundred yards out in the middle of a cut-down field with no cover but a sprinkler line.
I was on a rifle hunt, but with some patience I was able to work my way around into position with little cover and basically belly crawl through knee-high grass into a position which would have been easy bow range. If I had been bow huning I could have arrowed several nice bulls several times over. The cows and spikes were pretty observant as to what was going on around them but, undisturbed the Bulls were paying no attention to anything going on around them except keeping the cows herded up, bugeling and clanking horns with each other.
The best of luck to you. Can't wait to see the pics.