I had PTG cut me a custom 7mm Rem SAUM reamer from a few dummy rounds I loaded using Remmy brass and 180 hybrids. My freebore is .054. I built this on a Bighorn short action that I had available and a Krieger 28" HV contour barrel. 2.96 to 2.97 is about max OAL using Alpha mags if you want to feed reliably without trimming meplats. Jump to the lands is about .015. The base of the bullet is seated into the shoulder. I don't think you will get the bullet out past the neck shoulder junction using a short action. I give up some case capacity to load the 180 Hybrids short at 2.96 OAL, but it has worked very well for me.
I found Magpro and N560 to be the best powders for this shorter load. I don't believe there is enough boiler room for 4831SC or H1000 with the shorter OAL. Once I found the MagPro and N560 worked so well I quit searching for a load using other powders. Velocity for 180 Hybrid loaded to 2.96 in front of 62 gr of MagPro gives about 2850 fps, 59.2 gr of N560 gives about 2900 to 2930 fps shooting suppressed. A long action gives you a lot more room to play with, but the short action does work.