I am not an ATC guru but I use to fly PPL out of East Mids although it wasn't quite as busy as it is now, I would imagine that they will ask to report at one of the VRP's either Shepshed or Mallory park northbound maybe Markfield and then clear you to transit thru the zone, commercial traffic permitting.
You will find that they are pretyy accomadationg.
Good luck.