A good Bushnell LER will hold up, just won't be the highest of optical quality.
I have a BSA on a Ruger Mk2, bought it that way. 60 dollar scope, looked it up. I'm not sure this thing would take recoil. I know Bushnell will. I'll keep it on the .22, should handle that.
Or, just spend the bucks and get Leupold, Burris, Nikon, etc higher end and live without worry. I've already learned my lesson on cheap scopes, though I do have a Tasco Pro Point I bought years ago for my .30-30 Contender. It's not a real tough scope, but I have the hunter barrel, ported, actually a compensator rather than ports, very little recoil. A .45 colt barrel detatched its reticule and I had to send it in for warranty.
It's held up since, about 20 years now. If I replace it, it'll be with a higher end scope for sure. I won't buy the low end stuff anymore. You can get a good LER for 200-300 bucks now days.