The 30-06 is definitely a more versatile cartridge but since you also said
All around NA big game for stalking in any weather.
and also mentioned what rifles the two cartridges were chambered in (Browning BAR vs. Marlin guide gun) my answer would be the Marlin 45-70.
I would leave most any semi auto rifle at home when hunting in sub zero temps, rain, sleet, snow. Far too much can go wrong with a semi auto like a BAR when hunting in these conditions.