Congrats again!

You have 2 choices. One is to go to a full metal jacketed bullet. That way, you only have a pencil hole on both sides.

The other option it to try for a bullet that shatters upon entry and doesn't exit. I have a buddy that uses ballistic tips in his 22-250 for coyotes. Only problem he's had is when he doesn't hit anything solid on entry, the bullet doesn't shatter fast enough...and there's one whale of a wound.

GOOD LUCK!!!