I'm not convinced you'll find anything like that for the price range you are looking for. I'm sure by this time you might have a good idea. Let us know if you find anything. I'll keep an eye out.
The best I've found so far seems to be second hand slightly older prosumer compacts like the Nikon P7100, Fujifilm X10/20, Canon G12 etc Seem to be able to pick these up for around £150.
All have optical viewfinders, but all have zooms sadly
Fujifilm X10/20 seems to be the best option at the moment
yeah, my friend had an X10 and it seemed like a decent camera for the price. He was happy with it. I have experience with the others but they seem quite highly rated. Like you say, there aren't many compacts that come with a prime lens, particularly at the price you are looking for.
I'm not convinced you'll find anything like that for the price range you are looking for. I'm sure by this time you might have a good idea. Let us know if you find anything. I'll keep an eye out.