From Heathrow Airport London bus to Mildenhall. 3 h 10 min £27. From Heathrow Terminals 1-2-3 Underground Station Tube to London Kings Cross, train to Cambridge, train to Bury St Edmunds, Railway Station, then bus to Mildenhall, Lark Road. 3 h 38 min £42. From London Heathrow Airport (LHR) drive to Mildenhall. 1 h 35 min £18. From London Heathrow Airport towncar to Mildenhall. 1 h 35 min £192.