Fly to NA; just takes like a trip and half; all you need to is V fare, so it's cheap too.
Just call to book if it's not giving the fare you want online (like it's giving you S fares or something that doesn't earn).
The fares you're looking at, be careful in that some fares do not allow short stopover (some have minimum stay of 2 days).
So... now the question is why do you want SL for? Is the hassle really worth it if you can't earn it normally?