i have a 6.5 sherman short.brand new and havn't shot it yet.sure i am going to like it but with the cartridges listed i want the most horsepower if i only had one rifle.
Of all the rifles I have , I always go back to my 7mm-08. It shoots really well. It’s taken deer, elk, and has forsaken many of milk jugs.
With that said I’m building a 300 prc right now
6.8 western is a good option even though it’s just a hopped up .270, I retired my tikka 3 years ago and have taken bear, and multiple deer out to 790yds on a mule deer buck and it’s been awesome
Considering the rifles you have(which are all really similar); and the desire to buy a new rifle. I would say a fast twist 22-250/22 Creedmoor or a 300win mag. You have the middle pretty well covered.
.224 would be my choice for best all around caliber. There are several different cartridges that employ it. This caliber can be used for everything from self defense, hunting, recreation, and war at an economical price.