It sounds like it will be really thick and hot with the batting and the fleece. I would eliminate the batting when using fleece. I have quilted a queen size quilt on my standard machine, it can be done. I started in the center and worked my way around, rolling the extra in the neck. Since the top is in 10" squares, you could vary the quilting in each square to give the lime green some variety in texture or change the thread to a different color in each square.