I took my 22-250 & my 25-06 to texas about twenty years ago -buddy had an outfitter business . His management plan said 26 doe's needed to be removed from the property , I probably shot most of them using the 22-250 with 55gr. remington core-lockt soft points . Hadn't started reloading yet.
Base of the neck or in the 'pocket' behind the shoulder they didn't make very many steps and many went straight down .
Most passed through the smallish doe deer and had a ping-pong ball exit and good blood sign on the ground --so I think you'll be fine with the combo you mention .
Mike