A 7mm-08 duplicate the 7x57 Mauser and with their modest velocities has always worked well with traditional cup-and-core bullets. Any good 140-160 grain bullet will exit on a whitetail at 150 yds. The super-bullets of the last 25 years are designed to cope with the disintegration of conventional bullets at short ranges at high (>3000FPS) impact velocities. Not a problem for you.