Angels 99, thanks for filling in the gaps.
The Light Aircraft Scholarship is primarily done at Tayside Aviation, however a few go to Halton.
The Nav Scholarship is ~8 hours on an AEF, either residential or over weekends at a local AEF.
The AEF based FS is ~12 hours as far as I remember (I think that is where the 10/12 hour mix up came from). You can't solo the Tutor as an ATC cadet, so no chance of solo on that course. The course does include basic Nav and aero's though.
UtW;
What you describe is still very possible. I managed to complete my PPL through a scholarship which paid for the whole course, all done before I got my driving license.
ASI