How handy are you with a spanner...........?
Similar problem with mine, as Fred said above with common fault, front upper idler went on my Cup. Sudden loss of power, engine stalls, when turned over made a BAD noise. Yours sound more like the other problem, Aux belt fail leading to it damaging/interfering with Cam belt. Essentially the same messy end though.
Personally I went with new engine route, I have a garage, tools and a reasonable technical knowlege (I am not however a qualified mechanic) so purchased a low mileage engine from a 172 that had recently had its belts done etc and fitted it straight in as a one piece, like-for-like swap.
When I was looking for one new engines can be had generally for £700 (please correct me guys if I am wrong) for reasonable mileage ones from cars being 'broken' for parts. I got a good deal on mine and just purchased the block/head of the engine without buying the ancillaries/inlets/manifolds/looms that I already had from my engine/car and that people generally sell with the engine for people looking to convert 1.2s into proper 2.0 reps etc so needing everything. I therefore spent less on the engine than that. I did spend a bit on top of that for new fluids, filters etc so performed a 'service' at the same time and any bits it was sensible to do at the same time.
For me it was the logical option but I was capable of the engine swap. Obviously if you take it to a garage you will be looking at the bill for labour, but may be able to have the head of your engine and any components that may have also been damaged repaired so the need to source new ones may not be needed. Just a few things for you to consider really.....
Good luck,
Rob