I'm throwing in with those who say the 7mm08 with the 150gr NP will be fine. But I'll like to add something unrelated to bullet and cartridge headstamp. A good rifle for a horseback hunt has some special requirements. It should be on the short side and not overly heavy. And, if scoped, the scope should be small too. All this is important because the scoped rifle must fit under your leg in a scabbard. So, for me, the rifle itself is more important than the headstamp. But, maybe you already know this.
