IMO, it depends on how far from camp you plan to hunt, and if you have anyone else with you. We packed camp in 5 miles to be where the elk are, so we were generally hunting within 1-2 miles from there, albeit sometimes with 1500’ of elevation.
If your day pack is the type with some aluminum stays and an actual hip belt, I’d probably hunt with that and plan on carrying the back straps and tenderloins back in it if you’re successful. Those plus your gear and weapon will be a decent load.
You’ve then got 2 hams and 2 shoulders, which would still be 3 trips for me, but some guys can do it in 2.
I feel hunting with a larger/bulkier pack is going to decrease my chance of success, so I’d rather make the extra trip if given the choice. I hunt with the KUIU 1850 and frame, so I have the best of both worlds to me.