Well, since no one has offered any quilting ideas, I'll try! I'm going to assume you're planning to machine quilt, because handquiting a Log Cabin is soooooooooo hard with all those seams! I tried and gave up!
Hmmm - curves - I agree - I like curves when the blocks are full of straight lines. Maybe feathers? It sort of depends on how comfortable you feel with your machine quilting. Long, graceful curves along the dark and light diagonal lines would look nice. You could space them close together like cross-hatching - or leave them as wide apart as your batting recommends.