Okay so it's technically NOT a SID tune, but it sure sounds like the SID soundchip.
I was quite bored when I wrote this, so the quality may not live up to your expectations, but I hope you enjoy it nevertheless.
It is also longer than Dawn, NOT BY MUCH THOUGH.
But it's always a start.
Made in Renoise 2.5, with reFX Nexus (SID Expansion)