Perhaps the world of Radio Hammery could put its thinking cap on, and gain a great deal of PR from the man-in-the-street?
We all have a number of traditional AM and FM radios which have given sterling service over a number of years.
The Brit govt has virtually decreed that these are to go the way of the dinosaur.
How about a small packet of electronics, no more comples than, say. a mobile phone available from your local emporium for £20, to sit under your AM or FM radio; to sense the frequency of the local oscillator, and from its data base (ROM is dirt cheap these days) receive the appropriate digital broadcast and then re-radiate it at a low level, but at sufficient strength, that it may be picked up by the broadcast receiver?
A set-top box in reverse, and therefore best placed underneath!
It wouldn't resolve the problem of the traditional Crystal Set.