I shoot "varmits" (groundhogs, crows, coyotes) with a Thompson Center Contender .223. Of course, it's a single shot so you know what I think about a magazine for varmit rifles. Now, I have a Leupold 2-12X VX II scope on this gun. I firmly believe you can't shoot what you can't see. I kill groundhogs out to 400 yards. Here in SW PA., that's about the longest shot your going to get before you run into a hill. I also will use my ProHunter .243 with a Nosler 80 grain bullet. It has a Leupold Rifleman 3-9X scope on it. Less costly than the VX II, less power, nice glass....but when you look thru both scopes all day, there is no doubt why the VX II cost more.
I hunt fox (which is done at night) with a Handi Rifle 22 mag. I have a Bushnell 3-9X with a lighted reticle scope. Since the longest shot that I expect to take (and have taken) with this set up is 100 yards, the scope on this gun is fine for that distance.
Now, that was more of a yap about the glass than the guns. I also have a Stevens 200 in .308. It's a tack driver and it has a Nikon Buckmaster scope on it. Again, you can't shoot what you can't see.
The Stevens 200 you can get for about $260 and the Handi for about $130. I don't think one is going to be more accurate than the other. (But I've been wrong before). Then, I don't think you can go wrong with spending the X-tra bucks on the Stevens.
Dave