Burgoyne Surrounded is one of the quilts on my "list of quilts I want to make before I die". Your's is really lovely. And yes, I think a square quilt would do very nicely. I've noticed that most king-sized comforters are almost square anyway. If you were feeling wildly ambitious, and had some scraps left, you might consider a couple of pillow shams. They gave a nice finished look to the bed. Your work is exceptional. Congratulations.