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.