I guess I'll offer a little different point of view.... if starting from scratch I'd go with a 308 Win just because it is such a well understood and available cartridge. Yes, to some it is boring. On that I'll agree. But then, I want to work on my skill as a shooter and less on doing load development.
I only make three flavors of 308 Win cartridges: A single 168grain SMK @2650 fps target load for my M1A and bolt action target rifles. The same load with a 168grain A-Max turns the same rifles into effective hunting rifles. And last, a 150gr Game King load for slower twist sporting barrels. Then I make them by the hundreds. I do keep round counts on the barrels, but I don't get worked up about it. Barrels are like tires on a car... when they are worn out, you replace them.
I may play around with other calibers in small batches, but I always go back to the 308 Win and recommend it to anyone who wants a good general purpose rifle. If I had multiple 7mm-08 rifles (or any other reasonable caliber) I would be doing the same thing with that caliber.
Now, to the OP... you have good general purpose rifles to start with, so it would make sense to me to just keep re-barreling those until they are worn out instead of buying another rifle. Put the money into keeping yourself supplied with ammunition.
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