It has a flavour of old memories : I lived in Toulouse during more than 20 years, and near St Sernin cathedral was "the" girl's highschool of the town...and I was studying in "the" boy's highschool of the town, 500 meters from it.
If we could have the permission to leave at noon - and I had - we generaly meet GF in "cafés" at the "Place du Capitole" (we have a Capitol in Toulouse!), midway of both schools...hmm, no comment!
In other topic, more serious, we, pupils, often went to the cathedral to listen the rehearsals of organ concerts: marvellous!
So, I like your model, even if you have had difficulties to fit pieces!