I've not loaded the 140 Berger in the 7mm-08 but the problem i had was trying to get enough extruded powder like 4350 in the case to reach its max potential.
I ended up using Win 760 for my wife's with a 140 NP at 2960FPS in a factory 700 24" barrel
That's good info, I will have to check the freebore and go from there. Was hoping to use them due to the component shortage/hoarding but may be looking elsewhere
Imr 4350 shot well at 2800fps with 140
Might have to go with whst you have for now, 760 is one I would keep my eye out for though.
Not sure how Viht 150 is cut could have potential if its cut like 133
Ramshot Big game is a good powder for this bullet, just make sure you have some mag primers with the ball powders. Mine seemed to like them better than LR primers, but it can be a tricky powder to get to shoot. Also I had good luck with varget
Try RL17 like @jimbires said or Varget. Varget should get you past 2,800 fps and RL17 close to 2,900 fps. IMR-4064 has worked great for me with 139gr and 140gr bullets in my factory Rem 700's.
WW760, H-100V and StaBall are great powders in the 7mm/08 with 140 class bullets. Used all three in 3 different rifles chambered for the 7/08 with great results.. JME