I guess I would say 372-7/8 since that is the one shot last year and shoulder mounted. Of course it was also my first time archery hunting for elk also so I felt I needed to have it mounted.
Only real concern for me is the price of the tag.
I drew it last year and it allowed me to put in for any permits. I got lucky and drew a Clockum archery tag that I wouldn't have been able to put in for.
I have used a 270 Win with 140gr Barnes with no problem. I switched years ago to a 8mm Rem Mag with 180 Barnes and it has killed every elk I have hit with it. I would have no problems using either as I am very comfortable and accurate with both.