Have you test fitted your bullets of choice in a 270 WSM case, seated where you'd want them? To see what you'd be looking at for COAL? A 7WSM and 300WSM need long actions. A 270 may not...
On a slightly different but related topic, this reason is why I'm building a 6.5 SST. 140gr class bullets at 3100 fps + . I'd be happy with the Berger 156 at an easy 3000 flat. The reamer seats these bullets right at 2.9" +/- .020". An AICS with front straps removed will allow for 2.980". I may throat my chamber out for a 2.940" so that when I seat the bullets .020" off the lands I start with a 2.920" COAL and have .060" of chasing the lands.
The last photo with all the cases is SST center and to it's right SAUM, WSM, 284W.