Thank you for your service Brian. If it weren't for the Navy we'd all be speaking Japanese right now ;)
You chose a very nice setup for long range. The Sendero is built very well and highly capable of top notch long range accuracy. I don't think you will have any problem reaching out there with the bullets you have on hand. If you find that you need more BC to stretch it a little further, just buy some higher BC bullets and work up a load. But for a deer, I don't think that it will go far with a 168gr of anything from a 7mm Mag hitting it in the right spot.
The scope you have will serve you well also.
I have 4.5-30x50 Bushnell Elite Tactical scope on a 338-375 Ruger and the rifle has NO MUZZLE BRAKE
. I push the 250gr Berger VLDs a little under max load at 2925 fps from a 26" Brux barrel. It's about as much recoil as a guy wants to deal with before submitting and installing a brake. That scope has handled that high recoil without one hitch. It gets a hair "milky" past 25X, but it's barely detectable. It's only a 50mm objective and I think I only paid $750 for it, so you gotta cut it a little slack. But 30X is perfectly usable and it tracks/ holds zero like a NightForce. I have no complaints.