A number of years ago I bought a book called 'An Illustrated History of BEA' I havent looked at it for years but your question had me digging it out of the loft!
It has an appendix for incidents relating to BEA operated aircraft.
The only likely incident that I can see happened at Jersey on 26th November 1965, G-APEY had a nosewheel collapse on landing.
Hope that this helps !
Tarman