Reluctantly I ditched my original 1998 MG radio (and CD changer) for what you are looking for. I did not want to mess up the cockpit with a standalone DAB receiver, standalone sat nav et al.
I went for a Pioneer AVH single din with flip-up screen - not cheap but has CD, FM and DAB/DAB+ radio, Bluetooth and handsfree phone, USB and Sat Nav (this is an add-on module - the receiver is hidden under the instrument cowling but reception still excellent). I also fitted a German made converter so I can use the original MGF aerial for both FM and DAB.
The package avoids cockpit clutter and is as integral as you can get it.