Nikon Prostaff is what I use on my Savage 270. Great scope and inside your price point. I have a couple $60 -$70 Walmart type scopes for my Savage 22. They work just as advertised. My Riger 10/22 I prefer to use the iron sights.
Unless you are going the hi end ammo, trigger, bull barrel route, any mom and pop scope should suit a plinker.