The only thing I've made similar to what you describe is a t-shirt quilt for my daughter. She was in the band in high school, and I used all of her t-shirts. I did denim for the sashing (leftover jeans!) and instead of batting and backing, I used fleece for the back (no batting needed). It was only a tied quilt, not a real quilted quilt.
As you can imagine, it was VERY heavy, from the jeans, but she really loved it.
She died right before she graduated from college.
The quilt is in a box in my basement.