Refine your search for walks in Hers-Mort (rivière) - Affluent de la Garonne
They're not quite the châteaux of the Loire, but they're close in the Lauragais region.

A very pretty little circuit, without any difficulty, offering superb views of the Lac de la Ganguise, the hillsides and the Pyrenees.
There is very little tarmac, with most of the route following wide, clean paths.
The starting point offers a chance to discover the magnificent little castle of Belflou.