I have the Nikon Prostaff Rimfire especially for 22LR. The glass is super clear and high quality. It's a great scope and opticsplanet had it for around $125.
Vortex PST 4-16x50 FFP mrad works wonders for me. Great scope for great distance shooting esp with it on a 25 moa base.
Really I would skip out on BSA and Tasco. I would go with something within Nikon's linup or even bump it up to a nice low cost leupold. Even the Simmons 22mag is a great scope for a rimfire. Personally I would go with a Nikon, they have been nice to me and have great quality for little $$.