This is not exactly what you asked and I'll admit I have never tried QAYG, but from one newbie to another, you can quilt with even a small-throated machine. My sewing machine is a bargain-basement Brother that DH found for me on clearance and it has a very small throat. I was incredibly apprehensive about quilting my first quilt on it but it worked out fine. The quilt was 63 in. square.
Anyway, I don't in any way want to discourage you from doing QAYG. Just wanted to ease your worry about regular quilting.
Have a great time, and can't wait to see your first finish!