Hi Oli
I fly out of Sherburn myself and would suggest any of the following :
Welshpool
Leicester
Fenland
Nottingham (Tollerton not NEMA)
Blackpool (nice to fly to but as it's a commercial airport the food is just from a cafe in the terminal)
Skegness (no food though)
All these are within easy reach to fill 4 hours but aren't too far away or too difficult to get to.
NH