In wyoming 22 center fires are legal for deer and antelope. If the bullet is 60 grains or more.
I have a 22-250 with a 14 twist.
I have a Browning A-Bort 1:14" that shoots 70gr Speers very well. Those bullets are semi-spitzers, so are short for weight.
I am going to try 53gr TSX in it this yr. They will work fine on deer.