I'm married to an independent. Somehow he heard about the traditions of lavaliering and pinning, and asked me to explain... a few days later, he "lavaliered" me with a little heart-shaped pendant. My sorority did a candle passing, just as if I'd received a fraternity lavalier.
A friend of mine (who is an AXO) was recently "pinned" by her boyfriend, also an independent. Her chapter did a candle passing for her.
So just because you're dating an independent doesn't mean you have to be left out.