Wow, what luck..... I've hunted bear quite a few times and the only ones that I've seen was because I was using dogs and those bears got shot.I went bear hunting for the very first time in the mountains of SC. On the last day I caught a glimpse of a bear through a laurel thicket and I'm hooked. I am currently in the process of building a rifle for whitetails. It is a blueprinted 700 action on a 20 inch Proof Sendero Light 1:8 with a Timney trigger bedded in an AG Composites stock. 7mm-08. My original plan was to load 140 grain Accubonds around 2900 fps. Now I'm thinking 160 grain Partitions at around 2600-2700 fps. Where i hunt 90% of the time you can't see 80 yards although there is potential for 200 yard shots. Advice, please.
I'm thinking that if you saw a bear, that Bear was hunting you and got spooked.
JMHO
Stay safe out there.
But to answer the question. 44 mag pistol with 300 gr soft points and with the 7-08 I'd use a 180 gr round nose.