Ahhah. Didn't realise it had a higher compression. One of the ones I'm looking at also streams internet radio and has access to listen again features (Pure Siesta Flow), but the one on top of my list (Siesta) lacks the WiFi capability.
I think I might just stick to my original plan (and budget of <£30!) and get a decent FM-radio/alarm clock. I am having issues getting up in the morning and find I'm spending too much money getting a newspaper every day to catch up with the news. I'm not a fan of reading stuff online (call me old fashioned!). I think a clock-radio tuned to Radio 4 might kill a few birds.