The Carpenter Star is mine. Your Labyrinth looks like it would like a ribbon border. quilterscache has a section of just borders.
To answer your question, I'd do a narrow border of deep chocolate or navy, then something incorporating both colors. 2 1/2" brown, followed by a 3 1/2" blue and bound in the dark or any two color pattern like the piano keys or ribbon. A three color braid would do. Blue/brown/white.