I agree the 22 Nosler is a challenge when going up against larger cartridges.
I guess in the lower recoiling range the 6mm like the 6BR, 6BRA, are an option.
Maybe the 6GT or even the 6ARC.
A 22BR/BRA/BRX would be an option with even a little more velocity than the Nosler.
That would still make use of my supply of heavy 224 bullets.
Powder charges of 30 to 32 grains, bullets from 80 to 90 grains, velocities fast enough to register on a 1000yd E-Target, a rifle in the 20 pound range, recoil with the 22N is nill, in an AR or a bolt gun.
Even if I didn't have a boatload of stuff for the 22N I don't see us shooting anything with anywhere close to the recoil of a .308, for 70 rounds in an hour or so.
I'll have all 3 normal size bolt heads, and would only need a barrel to shoot something different once she wears out the big ol chunk of metal on order

28" bull Shilen select match.
Looks like we will be into this for about $1500 (less optic) when all is done.
Guess we could have just gone to one of those big box stores (that sell Liberty safes) and bought a complete rifle in a popular caliber.