For what you describe I would go for the M2 Hands down.
Its by far the most accurate rimfire I have ever fired and I have fired quite a few. Being an instructer and coach and in the firearms industry for most of the past twenty years I have seen and shot most if no all makes and models.
When I got mine, I was on the riage with a couple friends and a guy with a m1 carbine. We got to talking and shooting and a contest erupted. I was able to put M2 thru every hole he made with his M1 at out to fifty yards...almost everytime. When I missed it was certainly me NOT THE H&R!!!
The couple tree rats I have dispatched "lost thier heads" in the foray. I have tried the occasional head shot Turkey...not An easy target. If you can do it, my hats off to you, rest asured if you hit it it will be turkey for dinner!!
Good luck,
CW
BTW, in all honesty either will do what you ask. I do have both, bit I just really like my M2 better. Incase you didnt notice.