I will admit I have never handled the sweet 17 scope but other BSA scopes I have not been impressed with. I'd check out Mueller scopes, they make a very nice 3-9x40mm that is great a little more money at about $150 but great glass for an awsome price. I put a Mueller on my .17 although a much bigger scope at 4-16 x50mm and cant say enough good things about the optical quality especially for the money.
Another scope that you might want to look at for the .17 is a Swift Premier in either 3-9 or the 4-12. The scopes are very bright and clear many people I know that shoot rim fire love these scopes.
Lastly I belong to a rimfire forum and one of the scopes tha alot of people say is a great buy (although discontinued but some still floating around out there) is the Simmons ATV. I am not a Simmons fan BUT I got this scope for my father on closeout for like $80.00 and I was totally impressed with it for the money.