I'd recommend bumping up to a 300gr bullet, but the barnes is a good choice if you stay with a 250gr since you already have a load worked up. Your MZ will be fine. Mine has a 24" barrel and I get 1900fps with a 300gr Parker bullet and BH209. That has worked well on elk for me.
Get some speed loaders. I carry 3 when I am MZ hunting. A rubber primer holder that will keep them dry like the primer caddy from TC. Put it all in a small pouch with your palm saver/bullet starter and keep in a handy place. If you have belt pockets on your pack, that can work. I have an AGC bino pack that I keep them in. Speed loaders and primers in the front pocket, palm saver in the sleeve on top. Emergency tools in my pack, like my breech plug wrench, pick, pliers and screwdriver set. Water and snow will get where you don't want it, so be ready to push out a charge if you need to. Water is the sworn enemy of the MZ hunter. Tape over the end of the barrel like you would for any other rifle.
Good luck getting the tag. The tag is the tough part at this point.
Jeremy