Tying would work for this quilt. I have used some of the pre-programmed stitches on my machine. I have one that does 4 stitches on the left, 4 on the right in a zigzag that would work for this quilt and do it along the seams.
You might look into getting a walking foot for your machine. They are available on Amazon for a lot less than at the sewing machine stores if your budget is tight. Just be sure it is the correct one for your machine make and model.
If your batting doesn't have a high loft you could get away without having a walking foot. Try it out on a sample 12" quilt sandwich first. If there is any gathering/bunching it won't work.