Oh, please don't SID it! Double Irish Chain blocks have marvelous centers for quilt designs, and the chains can be quilted - by hand OR machine - on the diagonal. Stitching in the ditch is hard to do accurately anyway, some stitches seem to jump outside that ditch no matter how careful one tries to be. And, with all the work that quilting is, I'd want my stitches to be seen, certainly!
Let yourself use this as a design opportunity!
Jan in VA