I have used a number and have a soft spot for the .284 cals for an all around gun. IME they give up nothing to the .308s in this regard. You name it 7mm08, 280 rem, 7mm rem mag, 7stw, etc they're all good but for moose and elk I'd be leaning to the case that works well with the 160gr class without giving up performance. So while the 7mm 08 is doable I'd refer to 280 rem+ for the bigger stuff. My personal favorites are the 7mm rem mag and 7mm STW, both are well suited to handle light to heavy for caliber bullets and antelope to moose game.
Nothing wrong with the 300wm just always found it to be spliting hairs looking for a reason to own another instead of my 7mm rem mag. I maintained the stance if I was to go bigger I'd step past the .308s all together and thats what I have done adding another .338wm to my cabinet (only this time its a lefty
).