For paper punching, higher mag is addictive.
My faves over the years have been the Elite 4200 AO 6-24 and 8-32. Some of the best glass you can buy (same factory as NF). Great tracking but limited elevation adjustment. For the distances you intend to play, these will work great AND easily under your budget.
But with the new Sightrons, that's all I use. Yes, they are that much better.
In the older gen fixed 36X, the Weaver and SII are peas in a pod. Both have great track records in BR shooting and these guys are fussy. But they have 80's and 90's tech and much has improved.
For a bit more money, the new SII Big Sky is so much better. That is what I choose to use on my backup F class rig and for my rimfire practise rifles. Optics are great, adjustments track very well, and the mag lets you see so much. You can aim on a pencil line at 200yds.
There are some variables and fixed 24X in this price range too.
Personally, for paper punching, I use the FCH and leave the mildot for my LR plinkers where I shoot rocks, clays and gongs.
Have a look at my website. Some prices are wrong due to the stronger dollar but you get the idea.
Anyways, good used can be great so don't discount that.
But if you are considering new, I have yet to see any scope that offers better optics AND mechanicals then these new gen Sightrons.
Or else I would use them....
Jerry