Consider the DT HTI if you want to mitigate recoil. That way you can put a long fatty on it but not be beholden to it and you can go up to 416 or 50 BMG if you get the bug. My DT 375 with the can weighs about 35#. Also, it is a manageable length even with a 35" barrel which buys you extra speed.
However I disagree that it shoots like a 308. It kicks more than my 338 which kicks more than my 308 no doubt. it's just physics. It is confortable to shoot, but you notice it when you're trying to spot for yourself on small targets at range.
If you do get a 375 barrel for DT HTI, I suggest abotu 34-35" finish length, 1.620" for 7" then straight taper to 1.15". To me that is the perfect profile for that rig as a dedicated ELR gun.