I'm probably a bit late with this post as you have already bought the BSA but here we go anyway.
If you want a decent small scope and can't find a Simmons 1.5-5x20 I found the only slightly larger Nikon ProStaff 2-7x32 absolutely fantastic. Better than the Simmons if I'm honest. Mine has the really helpful BDC reticule which gives aiming points in a very useful fashion-all below the crosshair which is where you need them most.
I used to regard the tiny Simmons as the absolute best value for money in ultra compact scopes but now it is the Nikon. Times move on after all.
I'm sure the BSA will be OK but I doubt very much whether you will like it as much as the Simmons and certainly not as much as the Nikon. I'm afraid it is the old story of 'buy once cry once' which seems to apply pretty much to all sports optics. The price of mint used Simmons tends to be around £80 and I paid £85 for my Nikon so pretty comparable in price terms.
'It may be that your sole purpose in life is to serve as a warning to others'.