580 Series rifle are my favorite varmint .22's. I have several 580's and 581's. I don't have any 582's as I don't care for tube magazines. I try and find the single shot adapters and forget the magazines.
I use Millet scope rings and when they were still around I would use Tasco Mag IV 6x-24 AO Varmint scopes. I used one of thes rifle to make a 245 yard, witnessed, laser measured shot on a Montana gopher.
I prefer the single shot set up as I can spend my time shooting gophers and not fumbling with and loading magazines.