Barnes 120gr ttsx or nosler 140gr etips are the 2 I have firsthand experience with in 7mm08. The 120s recoil noticeably less and I have had very good success using them for the handful of deer and antelope Ive taken with them out to about 200 yds, all with consistent exit wounds larger than bullet and all Bang/flop kills. In my rifle they’re still north of 2000fps at 400 yards so I would be plenty condident in them expanding properly well past 300. The noslers are more accurate out of my rifle.
120 grain TTSX for the win When I'm not shooting that out of one of my 7MM-08's its the 120 grain Ballistic Tips but the TTSX is a great little bullet.
As a youth, using a 7-08 I killed several cow elk and mule deer bucks with both the 120 and 140 Barnes ttsx. Both work, 120 has my vote with 300 yard max little faster, little less recoil. Worked like a charm.