The Linn comes without speakers but would leave enough in your budget to invest in some good quality ones.
Unfortunately the other such system I would recommend hearing also lacks DAB. Its the Audio Analogue Enigma, which incorporates CD, analogue radio, and amplifier with a valve stage in one shoe-box sized unit for about £850. Very musical little system that would work well with a pair of £500 speakers.
The Teac Reference 600 you mention might be well worth a look. It has been developed by the Esoteric team (behind Teac's high-end brand) and provides all the features you are looking for. I've not heard the 600 but my Dad has the 300MkIII and, for the money, it really is a superb system.
Finally, have you considered the Arcam Solo Mini or Arcam Solo Music? They are not to my taste at all (I'm not an Arcam fan) but many people rave about them and they would give you the features you are looking for.