I know the OP wanted under 160, but, I've run the Nosler 168 gr LRAB in my 7 Rem mag since they came out. Using H1000 I run them at 3025 fps.

After 10 or so elk, I think they are a bit soft for my taste on elk and I went back to partitions for them. The 168 LRAB are a pretty darn good mule deer and whitetail bullet though.

Regards,
Manny