I have rechambered a savage rifle from 223 to 22-250 AI yesterday , the throat is more than long enough to accomodate the 69 grain smk.
But I have ordered a separate throater to be able to use longer bullets like the ones you mentioned for future build.
The 22x47 and the 22 creedmoor are promising as well, now that descent brass is available.
Any of these three and you can’t go wrong.
A collègue at the range just got a 22 gt built. Apparently there is brass in the country for it.
Bookmarks