Full house loads depend a LOT on the rifle. Some have slack between the breech block and the end of the chamber, and there is some bulge on all guns. The semi-automatics are in a league of their own; many chew up the brass in some frightening ways.
Norma brass lasts a long time with a gentle, moderate-speed powder like Varget. I have some cases I know have had six loads through them for sure, but it could be more. Faster powders like H335 result in fireballs, even at minimum charge, and seem to work the brass a lot more in the same rifle. If I have time, I'll pick up some VV powder, as they seem to have some that hit the sweet spot for accuracy in that caliber.
Winchester brass "seems" to wear faster, grow faster, but it's cheap, I buy bags of it when I find it, and it works until it wears out.
Like the previous poster, I'll play with pistol powder loads ("gallery loads" is an awesome term, but my pistol range still won't allow my rifle), and those don't seem to do anything to the brass at all.
The only caveat to the caliber is to be sure to know your bore size, as some north american-made Nagants had .308 bore sizes. All the eastern bloc ones are .310-.312, and some Lee dies come with a .308 expander, making seating a non boattail .311 pullet hard.
I shoot surplus .311 FMJBTs, and Sierra soft points out of mine with very satisfactory results. I have also shot .308 Wideners OTM and .308 Nosler Ballistic Tips in 168 grain editions over Varget, and was quite impressed, but not all bores like .308 diameter bullets.