Have no idea about a minimum. I can tell you this, though. I have called Kimber multiples of times about putting out a Montana in LH. They just are not interested. And, I've said many times that there would be a large market for them They just don't want to do it. Period.
Like the looks of the new Howa's. They've got a nice one in 6.5 Grendel. Have no idea about a LH version, though. Might give them a call and check their oil.