Everything I've found with the break open H&R and NEF rifles is they are going to have accuracy limitations because of their action. My T/C Contender barrels do better, because the fitting and quality control at T/C is better. But of all the NEF and H&R rifles I own, I consider 1.5 MOA with handloaded ammunition about as good as it's ever going to get with one of them. I've seen them do a whole lot worse than that. Depending on how well - or how poorly - it was fit, you can get a somewhat accurate inexpensive rifle . . . or an exercise in frustration.
Personally I like them a whole lot as a light, slender rifle that carries comfortably walking around in the field all day. Same with the single-shot shotguns. But adding the weight of a bull barrel kind of defeats why I own them. I'd rather save my money and buy a used Savage bolt gun in .223 before getting something that NEF/H&R markets for long range accuracy.
I wouldn't try mine on game more than 200 yards out. It's just not reliable enough, and I didn't want to wound an animal to face a long death.