I'd take a look at ammo avaliable for deer, unless you reload...

I killed a few dozen with a 22-250 back in the late 60s and early 70s, using the Remington PSP 55 grain bullets, it killed deer, but the bullets would break up inside the deer...I got rid of it and moved up to a .243...

About 5 years ago, my youngest brother picked up a 700 in 22-250 in trade, he had remembered me using one and asked about bullets...I purchased a couple of boxes of Federal Premium 60gr Nosler Partitions and his daughter has used on 6-8 deer...They do quite a bit better, she gets exit holes and hasn't lost one yet...

That's why I'd do some research and see if you could find a couple of different options avaliable to you...I doubt it you will see much difference between .22s in damage done using the same deer bullets avaliable today....