RE: Tikka t3 vs. browning abolt hunter.
If your getting a .308 for sure, then by pass the .300wsm. Doesn't make sense with 7mm rem mag in the cabinet already and .308win to beside itshortly. The .338 will be your thumping gun, while it may not be required for elk or moose it certainly doesn't sufferto any forthis application and it creates a nice spacingin the cabinet .284, .308 and .338.
As far as rifle buy whatever one you like. Good luck