I recommend the 7 Rem Mag. I have 2. I really chewed on building a 7 WSM but 2 builders said they are a bit harder on barrels. I'll take a pic of mine that I just built and post it. I plan on shooting out to 1000 yards with it if need be.
Stiller Predator Action
Jewel trigger at 1 pound
700 Bottom metal
26" Krieger #4
Talley integral mounts
NF NXS 5.5x22x56 zero stop, MOAR, 1/4 adjustment
168 Berger VLD seated 0.010 off lands
73 gr Retumbo
Win brass (new)
Fed 215 match primer
If I could do anything different, I'd go for the McMillan EDGE stock which is lighter.
Here's a pic of my 4 new rifles