This!Sierra TMK, Hornady ELDM, and Berger Hybrids would be my vote. All of those still expand very reliably under 1800fps and also have good BC to help retain velocity at that distance.
Heavy for caliber versions will serve you well too for those shots that end up being much closer.
7magI would ask what cartridge?
308- nothing.
338LM would be a different answer.
180 eld m. If your twist runs them7mag
Which 7 Mag??7mag
180 eldm. 2850fps mv at 4000 ft. 1050 yards 1800 fps 1300 ft-lbWhich 7 Mag??
At last my count, there are 6 different 7mm Magnum cartridges.
Or 6 different 7mm cartridges with the term Magnum.
Assuming the 7mm Rem Mag, then the 150gr ABLR with it's 1,500 fps expansion requirement would just work. Barely.
Depending upon your muzzle speed & atmospheric conditions.
Realistically 800 yards would be about the limit for reliable expansion for the Rem Mag with almost all bullets.