My take on your question is NO don't do hand quilting.
The way you describe it wth the small areas, it is really going to be chore and difficult to quilt over the seams unless you can figure out some way to do echo type quilting, down the center of each strip or some way that you don't have to go over the seam. I looked for the pattern on line and not sure I found it, but a close up pic would be helpful to us.