I like your idea of a 7MM. But then I am prejudice.

I also like your choice of the Rem Sendero. Out of the box it is a great shooter.

You might consider the .338 RUM since you want to shoot at extreme ranges and at game such as elk and moose.

But then the 7mm will do the trick as well.

If you can get them, I believe Wildcat offers 200 gr. 7mm VLD bullets