I have a cabin on the Cove Mt area and spend a fair amount of time down there. I think if you are patient a 350 bull is definitely realistic. Watched a 360-370 bull last year that didn't get taken unless it was on the late hunt. Beautiful animal. Saw two other bulls that would go 340-350. Also saw a non typical 7x8 that was really young, maybe 4.5 years old, don't know if he made it through or not.
The unit should get even better in the coming years because the spike elk tags for the any weapon hunt (rifle) have been eliminated. In the area I am familiar with the number of big bulls has decreased a lot in the last 7-8 years. We regularly saw 10-12 325 to 360 bulls every time we went into our cabin and very often we could sit on our deck and watch them bed down in the meadow. There have been some big bulls over the years take a siesta there. Good luck to you.