When I hunted with the 7mmRemMag., 20-25 yrs ago, I ran the 150gn Ballistic Tip in front of RL22. It was sub 1/2 MOA in my Sendero out to 500yds, easy. It wasn't the only bullet I ran through it but made up 75% or the 1300-1400 rounds it took to shoot the factory barrel out.
I have a 700P in 7mmRM now that I rarely shoot but did try (1/13/18) some 169.5gn Wildcats w/RL26 and BR2's. Accuracy was 1/2"ish with velocity averaging 3062 fps, ES 6, SD 3.06. I only had a couple dozen and they're no more.
A couple of my buddies shoot the 140gn AccuBonds in their 7Mag's with great result on 0-400yd shots for NC whitetails and the occasional black bear. If I were to pick a hunting bullet today for my rifle it would be in the 160gn class. Either an AccuBond, GK or maybe the Partition. I do not have any experience with any of the monolithic (lead free) style bullets, other than the Barnes. I shot the Triple Shocks in a couple different cartridges, back when they first came on line. They were always extremely accurate with good penetration and killed like lightening. I would use the 140-160gn range with these. The 7 Mag is a stone cold killer and a great rifle to have in your inventory.