I quilt first row, attach second row, tuck in batting, quilt. Then add third row, tuck in batting, quilt. If batting says 4" apart for quilting and your blocks are four inches or less you don't have to quilt at all, just be sure batting is in the seam allowances. This method also works with this log cabin pattern -- only the quilt is one big block. Your rows are one 'log'.
http://0.tqn.com/d/quilting/1/7/y/B/-/-/logcabin.jpg . Some say this is not really a quilt as you go because each block is not quilted before attaching to another block. So maybe we should call this Quilt as You Row? Or Row a Quilt? Any other suggestions?