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OK back to it.
You asked why not the CM.
The only benefit in the 6mm or 6.5 CM in a short action is that they come standard from the factory with a faster twist barrel than the older 243 and 260....

well looks like this has been done to death over 8 pages and I only found it tonight.?
Sounds like a job for a short action, anything in the 308 family from 243 to 308 would be fine.
Grab a Hardy...