Re: 308 reamer for Lapua brass and 178amax???
I think that the Bisley is a little short in the throat for this bullet. I could very well be confusing them, but I think that the Bisley has about 0.050-0.055" of freebore.
I would suggest a setup with about 0.080-0.085 of freebore for that setup.
I'm running it in my 308, the chamber was initially setup for 175 SMK's by the builder and I've had absolutely no issues stuffing 168, 178 Amax, 168 and 175 SMK's in there at AICS mag length while getting it to shoot bugholes.
Best solution would be to talk to PTG directly, I doubt you'll have to even send Dave Kiff a dummy round, he probably has the spec handy for a common bullet like that.