If you want a single can for both, and that you are going to use for hunting, this is what I would suggest looking into. I have one in jail for my .350, but it will also handle 300wm (20" min).
*These are a custom run from Otter Creek Labs. Its normal hydrogen specs for its length, except a larger bore that will accept 8.6 blackout, 9mm, .357, as well as all the normal calibers the hydrogen series is capable of* The Hydrogen series are extremely light weight, extremely quiet suppressor...
I've had my 36M on a 308, 350, 223 and 556 gas gun. It's an excellent suppressor that does everything good but nothing great. I purchased it specifically for my 350 legend build with area 419 mounting system. I run it in the short configuration and it's fairly quiet for its size with the standard end cap installed although I don't chase decibels. It's long and heavy in the long configuration. If you want one and done it's a very good choice. You'll probably end up buying more like I did.