Just a thought, but I can almost imagine this 'dish' having had its place in the medieval kitchen.
Fry thin slivers of Quince in oil and butter until softened, sprinkle with a little sugar and ground cinnamon, and serve with either cream/yoghurt/fromage frais etc.
It may not be the most exciting thing in the world, but it uses up a few more of those wretched Quinces, and it tastes pretty good too. Enough reason to try it methinks.
I'll have a go at anything to save all those beautiful fruits from going on the compost.