I may have caused some confusion here. I don't need to find out the dimensions of the chamber. If I were starting from scratch I would most likely do that and use Cerrosafe but I have eight loaded rounds of .375 SAM assembled by the individual who chambered the rifle for .375 SAM. He used .300 Rem SAUM ammunition to make brass for the .375 SAM according to his ex-wife who is currently my girlfriend. My gf asked me to work up a load for that rifle so this is what I'm doing. I tried to fireform a .300 Remington Mag cartridge about a year ago but it didn't work out too well. Now I have 80 rounds of .300 Rem SAUM that I can make .375 SAM brass from. I have an annealer so am leaning toward's
Bart B.'s method of annealing and sizing to get the case close to the .375 SAM dimensions. If you look at the bottom photo, the four rounds on the left are .375 SAM and the two on the right are .300 Rem SAUM. The datum on the shoulder of the .300 Rem SAUM is about .0008" shorter than the .375 SAM. The .375 SAM has a case length of about 2.010" (same as .300 Rem SAUM) and a COAL of about 2.780" with what I believe is a 225gr bullet. This is also inline with the COAL for the .300 Rem SAUM. Once I open up the case mouths to .375 cal the shoulders should look very similar. Interestingly, my gf also has a rifle chambered for 6.5 SAM which as you can imagine is a necked down .300 Rem SAUM. I have no intention of working up loads for that barrel burner.