Ironically I am currently handquilting a similar quilt. One of the ladies at the Senior center brought it in and offered to donate it to the center quilters to finish and raffle off. They don't want to mess with it. I took it home, ran a staystitch around the whole thing and washed and dryed it to make sure it would survive. It is made mostly of feedsack fabrics. I put a six inch red border around it on all sides to stabilize the whole thing and have it about two thirds of the way quilted. I will take it back when it is finished and they can either give it back to the donor in exchange for a donation to the center or raffle it off. I am quilting 1/4 inch inside each piece to assure that the pieces stay together. I am putting a large quilted chain motif in the borders Haven't decided what color to bind it with yet. It will be somewhere between a full and queen size when finished.
The 1/4 inch quilting stitch someone else mentioned is called "big stitch", similar to Shasiko. If you wanted to do that you would use embroidery thread. It would make the quilt look "primitive".