You have a lot of good input already and I can only speek to my personal experience, I have used all the bullet designs you are considering on a wide variety of game, not in 7mm but in .264. They all work within their envelope of performance but sheep, older rams, can be quite muscular and there is. Lot of work and effort put into the hunt when you pull the trigger. I'll share with you my experience although not with a 7mm-08 or the bullets you listed you may glean some useful information.
I killed my first sheep in 1977 on the Reims range of Alaska with a .243 Winchester Model 70 shooting Factory Ammo, Remington 100 grain Core-Lokt. I had to shoot that ram five times and he was a bloody mess. The first four were in the shoulder and failed to get into the vitals, the fifth was through the ribs and finally got the job done.
My Desert Bighorn was on the Kofa range in Arizona and I was shooting a Steyr Model M 30-06 with my hand loaded Nosler 165 grain partition. Again it took me five shots to get this ram down. The range was 567 yards on the first shot and he walked about 50 yards before laying down and dying. All five shots were through the lungs and all five exited with no indication of expansion.
My Rocky was in the White Mountains on the Arizona side of the border with New Mexico with my Prarie Gun Works 18ti in 6.5 STW using my hand loaded Nosler 140 grain Partition. This was my biggest and most heavily muscled ram, well over 300 pounds. The shot was at 165 yards at about sixty degree downward angle. This time, one shot was all it took he didn't even wiggle. The bullet went through both lungs entering high behind his right shoulder and exiting through his left foreleg.
My Stone's was in BC between the Toad River and Alaska Border. This is the only one that was guided, and only so because required by law as a US not Canadian citizen. I shot this ram with the same rifle and load as the Rocky, my 6.5 STW and with the same results dead right there with no flight attempt.
The shot was 360ish yards at a heavy raking angle, the bullet entered just in front of his right back leg and exited in front of his left shoulder with enough retained velocity to destroy both lungs as it passed through.
I couldn't find a pic of my desert handy but here are some of the others. Note the Dall was before modern cameras but the selfie was taken at the kill site, maybe a very early selfie.