I am not arguing that the SCART solution is not likely the optimal one however I thought that TVs still had analogue UHF inputs. Certainly did not many years ago. Well there is one aerial socket and you can tune up analog channels.
BBC UHF modulator defaults to channel 36 I seem to recall. Of course so did the video recorder, .....
The video quality will be shocking of course.
I sold my BBC micro in the '80s.
Best plan might be to leave it in the loft and download a BBC simulator for your modern PC:-)