I solicited lots of advice from a couple of online quilting boards (one of which I just discovered) and came up with something I love. Warning - lots of photos ahead.
The colour in this first one is off, because I was trying to get the quilting lines to show up, but it does give the overall picture of the quilt design and the quilting. There is a swirl border along 2 edges (top and right). Some peacock features and pebbles for background fill. And way more straight lines than I wanted to quilt, for the star.
And the star center.
The binding plan is to continue the "unfinished" theme - I'll bind the 2 edges near the swirl border, and face the other 2 to give them an unfinished look.