300 prc might interest you then
Not sure how the 300PRC does with regard to barrel length but it's an absolute hotrod.
Was reading about it last night.
If I was shopping a 300 short action magnum the PRC would be where I would be looking myself.
https://www.ballisticmag.com/2018/10/16/hornady-300-prc-cartridge-first-look/