Well choices can be overwhelming. I build my rifles with a goal whether that be like now a fast twist 257 WTBY mag to shoot heavy bullets for hunting. Or shooting long range steel. I built one one thinking it would be a "do it all" rifle well that one definitely came up short its a nice rifle and all but do it all it is not.
I built a 243 win for my daughter and tried to keep it on the light side. It is based of a old arnold arms action and rock creek CF barrel only 20inches. It shoots 80 gr hammer hunters outstanding. Rifle ready to hunt is just over 8lbs with scope sling and mag full. She has killed about everything with it several deer 2 cow elk and 2 black bears and it just shuts their lights off. She did neck shoot both elk (DRT). She uses it for rock chucks and coyotes too. My point being if i build a rifle to hunt with it needs to fit that role. If I build a long range bench gun I want the looong barrel I dont care what it weighs to a point. Does my daughter shoot it to 500 yards alot well she loves too. Longest big game 324 yards on deer=bang flop.
You said Mule deer. I agree they are harder to kill than antelope a little more hardy lets say. The fact is tho any caliber you mentioned will kill them quite handily if you put one in the boiler room.
Enjoy the process cause the outcome will likely exceed your expectations. Quality components and smith will make you a happy new rifle owner.
Post up when you finish we all like to see new rifles