I guess they're the 10 at the end of the topmost route (5+5)? I don't know what method you would've used to get the rest though, because according to what I do, if you can't get those, there are also some others you can't get. I used the trick seen in JXQ's speedrun of going through walls from the moving ledges, is that what you call a "screen wrap"?
I've got the rings in all the levels now - have equalled the top score for each one and beaten it twice (SB1 and SB2). SL1, SL3, SB1, SB2 and SB3 are the trickiest to work out what to do imo. SL3 was definitely the most hellish level, I was stuck on it for ages.