I would expect you wouldn't even have to measure it. If it has the double radius shoulders and is magnum length (2.825â€), it's a 7mm x 300 WM. I don't remember any other non-Weatherby wildcats that has the double radius shoulder, but I could be wrong.
MidwayUSA offers 7mm x 300 WM brass
http://www.midwayusa.com/product/28...ding-brass-7mm-300-weatherby-magnum-box-of-20.
Remember this is a wildcat even if the above brass is commercially drawn. Check the neck thickness with a bullet seated and case length to the casting. Most reamer maker will grind the reamer at the neck about .016†over max case length for safety. Also the chamber casting should be about .002†min. over the seated bullet in the case at the neck; .004†over would be better.
Also, get a set of headspace gauges. (Go and No-Go) Any .300 H&H type will do ( .300 WM, .300 Win Mag. 7mm STW etc...). They all headspace on the belt. I if the Go gauge goes and the No-Go gauge doesn't, then you have a .300 H&H Grandchild or .375 H&H Great Grandchild.
If the headspace, case length and loaded neck diameter is good and if the brass chambers, then the cartridge will safely fire. Even if you get the wrong reloading die and set the shoulders back on the brass so the cartridge will chamber, it will safely fire. This is because the cartridge headspaces on the belt
not the shoulders.
Finally, if you are reasonably sure it is a 7mm x 300 WM get the barrel stamped or do it yourself.