I pushed the shoulder back enough that the neck/shoulder junction was a little farther back than needed with a 338rcm die. Then sized down with my sizing die to 30cal. Seated the bullets with lots of jam, lubed with sizing wax and fired them. The one without lube stretched a lot at the base above belt and grew to 2.605" from 2.590".
I recommend setting the shoulder back only enough to get the bolt closed with some felt resistance. I suspect you had 2.605" - 2.590" excess headspace from the chamber shoulder to the case shoulder, and when you fired the bullet, the dry case wall grabbed tight to the chamber. Then as pressure increased, the case head was pushed back 0.015" until the bolt face prevented any case head setback. The case stretch occurred at, and caused, the bright ring just forward of the belt, thus elongating the case length.
I've had inconsistent success when fire forming cases when jamming bullets into the lands. The more certain method of preventing the case head from being pushed forward when the firing pin strikes the primer is to headspace firmly off the case shoulder. Since the 300WM shoulder dimension is longer than the 30/375 Ruger, it should be easy. Just have to tinker with the 338 RCM die until you get the crush on the first couple cases. Then set the die lock ring, securing that depth adjustment. Size another case or two to make certain the headspace is firm and good to go. Then resize the shoulder back on all of the remaining 300WM cases at that die setting.