Try a phonecall to RAF Marham, in Norfolk. One of their Tornado bombers may be able to bend over the church, if you give them a time. Ask for "Operations", and just explain your circunstances.
I don't know their policy, but it's worth a phonecall. If they are flying at that time, it wouldn't be too hard to arrange an overflight, as long as the church is not in the middle of a town.