I
love your little quilt.
I am partial to flannel - I do even my big/bed quilts with flannel on the back. FOr the quilting, I would more than likely do a Stitch in the Ditch if the tiles were larger but since they are small I might take a marking pen and draw diagonal lines and do a cross hatch design. Pick a good dimension - such as 4" or 5" and draw all the lines parallel that distance apart.
Here is a good video -
http://www.allpeoplequilt.com/videos...e-quilting.htm