140 grain Hornady flat base spire point or 140 grain Nosler Ballistic tip would be my choice. These two bullets work all the time every time in the 7mm-08 with IMPRESSIVE internal damage, which is what kills. You sure as heck don't need a premium bullet. The low velocity at 100-300 yards doesn't allow premiums to perform at their best. Cup and core bullets do a WHOLE lot more damage internally. Flinch
Flinch is right. The beauty of the 7-08 is that you dont need tough bullets at the relatively moderate speeds it generates. Three of my four children killed deer, elk and black bear with the same 7-08, starting when they were 12. It was loaded with 140gr. ballistic tips doing about 2650 fps at the muzzle and it penetrated well and I never saw any of the softish ballistic tips blow up.
A big added bonus to using cheapo bullets is that you get to shoot a lot for cheap and you become very familiar with your rifle and load when you can afford to bust rocks all day.