Steelhead's suggestion to buy a 358 Win is the best option IMO. I load Hornady 200gr FTX bullets in my 350 mag at max 35 Rem velocity.
For a bolt rifle, I agree. .358 = Problem Solved. .35 Rem = Headaches.
But I've always been one to look the original problem and the final results. When I had a 300WM and wanted 308 Win velocities there was no need to buy a .308 Win rifle. I just used less and different powder in the case.
