I would quilt with burgundy thread and I would use a very traditional pattern in the large white squares like a feather wreath. I would quilt straight lines on the diagonal (both directions) across the wide point of the burgundy pattern ( I hope you know where I am talking about)..then if you think it needs more on any part of the burgundy pieces..you can quilt 1/4" from the edge.
Beautiful quilt! The colors look very clean together and I really like the block pattern!