Ah. It would work for that (not plinking, though).
What I bought instead: Big 5 Marlin 1894C lever gun for under $400. Light, compact, quick, fun. Shoots .38 Specials and .357 magnums, so it's good for plinking and jackrabbits, but also for medium game with hot .357 loads (rifle barrel generates much higher velocity than same load in a revolver and can be bought with .30-30 energy levels).
I also like my Mini-14 in stainless and synthetic. Carries well, points well, no worries about sweating on it or scratching it up in the brush. .223 might be a bit underpowered, though, and 6.8 too expensive for fun shooting. Maybe the 7.62x39 version would work. Very reliable.
Also, the Remington 7600 pump carbine is a reliable gun.
However, the Marlin is a lot more fun than any of the above. .38 Specials don't heat up the barrel real fast, so you can plink away and have fun. Not true of a BAR, Mini, 750, etc. with high-velocity necked rifle rounds. The Mini comes in second, but I do have to let it cool often, and I have burned my hand on the thing.
I suppose if the H&R is REAL cheap, it might be worth getting. But if it's just "cheaper than a BAR", I'd skip it.