Callo65;
I'm left/left, as in naturally left handed and left master eyed. When I started competitive shooting, as a teen in the 60's, there was no way in the world I, or my family, could affort a competitive LH gun. Since then, it's been my life's work to amass a good left battery.
If hunting is important, then I'm not going to suggest anything sub-caliber to the 6mm's. My Remington 788 LHB in 6mm Remington is also one of the most accurate rifles I've ever owned. Remington no longer produces this model so you are, perforce, on the used market.
If cost is a real factor, do this: Run don't walk, to Ray Tanner sports in Jamison PA, & order a Tikka left bolt in .30-06. I got mine delivered to myself for a total cost of $399.99. You will not beat that price in today's market. However, I'd also be surprised if many are left. Call, the number is: (215)343-3103. My gun will become a 6.5 X 55 Swede, but that's another story.
The CZ 527 is also available in LHB, in .223. I've got one & am working up loads for it at this time. This is not my only CZ rifle, and I don't expect it to be my last either. However, my personal opinion is that if hunting is a major factor on your want list for a rifle, you'll be fairer to the game by using a larger caliber.
And just to put a previous rumor to rest, I've got a .338 Winchester magnum, and not on a Savage. In fact, I've never owned a Savage centerfire rifle.
There's other guns in the battery, but they aren't germain to your objective it seems to me.
900F