In reply to Fredt:
Col du Portalet.
On the French side you have a sublimely peaceful and beautiful climb up the 'valley of cheese' (it's where Ossau-iraty hails from if you are into cheese), views of the Pic du Midi d'Ossau, and on the Spanish side everything opens out and you're into a drier, more alien and bigger sky landscape on a huge but very quiet road.
Accommodation options are a number of CAF refuges including the Pombie which may be an acceptable walk from the top.