Lots of good council here. 15-20 yrs ago, I shot two near Llano, TX with 30-06 x 180 gr. They were both within 150 yds. Unfortunately one of them fell down a 70 foot granite crevasse and was unretrievable. Either rifle you have will do the trick with effective shot placement. If I were you, I'd probably be practicing with the 300 WM x 165 to 180 gr boolits. I'm sure some longish shots can present in NM.