Welcome to the Quilting Board!!
I'm nowhere near as good as Feline Fanatic (OMG, isn't her stuff gorgeous?!?!?), but in addition to the SITD and echo ditch that's been mentioned, you also need to think of what you're going to put in those setting triangle and squares. Feather wreaths are very common there, but you could consider a mock New York Beauty (drawn with thread, rather than pieced). Or extend the SITD lines on out to the edges, as that would continue to emphasize those lines.
I'm actually getting ready to load a Lone Star myself, as soon as my grunge black backing arrives in a few days. I'll be interested in what you do with yours. I'm planning on SITD, as well as some "fill" work (think Judi Madsen type of fill).
Good luck, and let us see your finished product!!