The Mont Roig hut can accommodate 9 but there were only three other people staying overnight, a Catalan couple and one French man.
Also on the Mountains of Freedom circuit.
The series of lakes between Certascan and the border is, to my mind, the most beautiful feature of the Haute Route. Note that the rope on the steep descent on the south side of the Romedo de Baix is badly secured and not to be trusted.
The final climb to the Col des Picots is steep, as is the other side. Worse, the valley which follows is full of boulders.
The Fourcat hostel (2245m) is one of the highest in the Pyrenees.