Last time I flew there in a G.A. aircraft (both piper Arrow and PA31) landing fees outside peak (essentially pre 6am) were in the region of GB£90 - outside peak was £300 - for any aircraft up to 50 tonnes.
Handling was mandatory (who else would get you the runway slots?) at approx £60.
Parking was charged in blocks of 15 minutes and it will likely take you much more than 10 minutes to do a turn-round.
It IS possible. I'm assuming you will go IFR - in which case the contact numbers are all in your "plates".