All three will work well, I'd just go with the one that fits the hunt. If it's a lot of walking, I'd go with the lightest. Glassing and stalk, maybe a little heavier gun.
The biggest mule deer i ever saw killed was shot by my uncle Harold McCallum with a handloaded 38-55 just out of Chemult Oregon in 1964. Three on one side and four on the other with about a 30 inch span. He had the head mounted but after his death i don't know where it went.
A side note is the rifle he shot it with was a Winchester 94 serial number 8. Harold collected Winchesters and hunted with a lot of them.
Doc

"No free man shall ever be debarred the use of arms. The strongest reason for the people to retain the right to keep and bear arms is, as a last resort, to protect themselves against tyranny in government." Thomas Jefferson, 1776