IPhone 5c case that protects the screen?

I'm looking for a case for my new iPhone 5c - I want one that will protect the screen (in addition to a screen protector) but lots of them only appear to have a tiny raised bezel round the edge- is this enough?

Can anyone recommend a good one? Ideally under £20 and with a transparent back. I have been looking at Casemate Naked Tough but some reviews say it isn't very good quality, and SwitchEasy Colours which apparently gets dirty very quickly.

Have a look at "Case-Mate Barely There iPhone 5c Case - Clear"