The bullets is more important than the cartirage and you don't need a magnum for any other critters mentioned. Ideally a 270 or 30-06 would do the deal to any of the game mentioned with no trouble when loaded with a good bonded bullet for the big stuff. If you really want one of the ones you mentioned I would go for the 7 mag probably but you would still need a good bonded bullets for the big stuff.