If you are able / willing to leave the south coast, Coventry has an ILS in both runway directions (I keep finding airfields that only have them south-westerly), is open long hours (so could do the night qualification while you are at it), is not very expensive (eight pounds for a T&G off a radar vectored ILS recently) and quiet. There are six FTOs there: Almat, Aeros, Coventry Aero Club, Atlantic Flight Training, Classic Flight Flying Club (it has standard aircraft as well as classics) and Midland Air Training.