I recommend a 270. I can post a number of pics, which I already have several times, of several young ladies on the brink of their teenage years or barely into their teens with their big mulie bucks they killed with a custom rifle
I gave to my friend in CO. I had the HS Precision stock shortened to a 12 1/4" LOP, a Lilja 24" 3 groove tube on a blueprinted stainless 700 action with DM. I topped it with a Leupold scope. The #2 Big Horn Ram was killed by my friend's wife and was in Eastman's Journal. All of these hunters used the rifle I gave to them shooting one bullet, one load: H4831SC and a 130 TSX. They intend to use this load on elk as well and it will get the job done.
The rifle has a Pachmyer decelerator pad installed as well. Not one of them has complained about the recoil, the animal they killed, gutting it, or eating it.