Quilting Idea - Baby Quilt

[Longstocking]

Just finished up this top. A baby quilt for our next little one.

Here's a close up of a block

and the center applique


I usually know pretty quick how I want to quilt but this one has me stumped. Do I want to do a small design inside each square? The squares are 4 1/2" and 3 1/4", and the smallest ones with sashing are 1". Should I just quilt around the squares? What to do with that 2" outside border? I'm thinking I'll just use white thread. The back will be a light turquoise so white should look good top and bottom...right?
Any ideas?

P.S. Wow - these pictures are posting exceptionally large in size, sorry.