Your post got my attention, I've just started a short barreled custom build to run suppressed. My usual 'go to" is a 24" 300 win mag, but with the can on it, it's a bit long, but what is more trouble to me is it's unbalanced (muzzle heavy, wants to roll muzzle down) when carrying on the sling. Rather than cut this one down, I'll keep it intact and use for stand hunting, and build another for hunts where I'm covering some ground. The goal for me was only removing 2", (22" barrel length), but going to a carbon fiber wrapped barrel to lose a little weight from the muzzle end of the package and gain balance when the suppressor is attached. On caliber selection, I've also got a 6.5, so started looking at 7mm to fill a gap in the safe. Lots of great choices for bullets in 7mm. After a lot of research I decided on the Sherman 7Max in a Defiance XM length action (cut another 1/2" in length from the package with the XM action) I really went non-typical by choosing not to run it in a stock, but instead to run it in a light weight chassis (XLR Element 4.0 magnesium), which allows me to easily add weight to the butt end if necessary to get balance, and is pretty light weight depending on how you set it up. My intention is to develop a load around the 172 absolute hammer (solid copper), which should get near 3,000 FPS in this setup. If that works out I will be good for deer out to 800 yards, will likely need to go with a cup and core bullet for distances beyond that. There are several folks on this site with the 7 Max pushing the 180 Berger VLD up around 3,000 FPS out of 22" barrels. With a 0.673 bc, that should have the velocity and energy to be a contender on deer and elk at 1,000 yards.
Good luck with your project.