Where are you hunting? Idaho? Colorado, New Mexico? And even within those states, the terrain will provide different opportunities. If you are going to be within 200 yards, or if you are climbing some serious elevation, I'd focus more on weight. If you are going to be shooting beyond 200 yards, or shooting across valleys, I would factor into my decision the cartridge and rifle that will provide accuracy and enough kinetic energy for an ethical kill.
The Colorado Dept. of Parks and Wildlife suggests a minimum kinetic energy of 1,000 ft/lbs for whitetail deer, and 1,500 ft/lbs for elk. Your bullet also needs a minimum velocity of 1,000 feet/second for proper expansion. In my hunting journal, I made a chart of the velocity and kinetic energy for each of my common calibers and loads, .270 Win with a 130 grain Sierra Game King, 30-06 with a 180 grain Nosler Partition, etc., at 100 yard intervals. Then I know the effective range for ethically taking an animal with that rifle and cartridge. With my .270 Win., I can ethically take an elk out to 300 yards, but I wouldn't want to go to 400 yards. My 30-06 will reach 400 yards no problem. Then, I consider the terrain I'll be in and the opportunities it will present. When I'm up in the Colorado White River National Forest, those shots are all over 200 yards, but it is a lot of hiking and elevation gain. If I'm hunting deer, it is always the .270 Win. as I can reach out past 500 yards and it is lighter. If I'm hunting elk and there is a chance my shot will need to be beyond 300 yards, it's the 30-06.
You have roughly the same calculations to make between the 308 and the 7mm Rem Mag. All of that being said, there is something awesome about hunting suppressed, but the X Bolt will be lighter and have more than enough kinetic energy all the way out to 500 yards (or more), which gives you the best of both worlds--lighter weight and greater range. Hope that helps.
