I have big forearms on all of my TC's. 375 H&H AI, 35-06 JDJ, 8mm GNR, 270 Win, and all but the 375 H&H AI have hanger bars. I have run hundreds of rounds threw my H&H and I havent had any problems... With a 7mm-08 you can put anything you want on it.
I have to agree 98.9867452301% with Dan. I just like the high rings. I dont have any problems sticking my thumb between the scope and hammer. In a handgun and shooting under 400 yards, I dont think you will ever tell a differance.