I don't recall ever seeing a $2 chip from Lucyan Beach, Nick. How about posting a scan for us?

There is a tan or grey chip with 3 maroon inserts in the $1 denomination. It has the small key mold and I show a scan below. Could this be what you're thinking of? It's a pretty good chip and isn't often seen for sale. There's no price guide for Bahama chips, but I'd put it in the $50-100 value range.