I've talked with the QOV people, and those in my state are very willing to let someone make a quilt for a specific recipient. I'm working on one for a coworker Priest, and am putting religious symbols in it that are very meaning to him.
They have standards so you have to stick with that (quality fabric, minimum size) and want it to be presented in some sort of meaningful method. And they want documentation about it for their records.
They will also supply you a label so the quilt is officially a QOV quilt. And if they want you to join, it's like $5 a year so not a big deal.