I have a BSA Mil-Dot 4-16x44 Mounted on my 17HMR Savage. I was VERY surprised by the new production BSA scopes. It is significantly clearer than the Tasco Varmint you have in question and even more than my Target 1/8 dot model 6-24x44, which is a step up from the Mil-Dot model.
I looked through a few BSA models a couple years ago, and yes I agree with all others that they were total junk and a cloudy mess! :x
BUT, it seems that they have made several changes in the last 2 or 3 years in the way and QC they manufacture scopes. The optics are way better than ever before. I'm not saying that they are the way to go, only that I now have a decent clear scope that BSA should have been making all along.
Unfortunately they have already made a bad taste in the mouths of consumers, and those will probably never give them another try again. They should have done it right the first time.
The Mueller, Legend, and if those are too much, the Banner..these seem the best bet on budget prices.