I suggest you contact Mid Anglia School of Flying (better known as MASF) and get a ride from them. They operate PA-28 of various sizes.
MASF are based at Cambridge Airport (better known as Marshalls) and have some knowledgeable pilots who can tell you the best places to eat in Melbourne
At this time of remembrance for D-Day you should try a short flight from Cambridge to Duxford routing via Waterbeach, Oakington, Bourne, Bassingbourn and Fowlmere. Less than 30 minutes flying to see the famous airfields of WWII.
It takes about 10 minutes for the direct return flight.