I am still picking courgettes! in October! It is still quite mild and although the plants are now getting quite a bit of powdery mildew I am still picking a few.
So here's an idea passed to me from my USA 'cultural Ambassador'
Slice the courgettes (she calls them Zucchini - but she's American - but that's OK too)
Coat them with egg and breadcrumbs. At this stage I try to add some flavour with salt, pepper, herbs (she calls them 'erbs' !!)
And fry them. A dipping sauce comes in handy, like sour cream or sweet chilli. Enjoy!