In reply to jon:
This is insane and I would have no chance to do this (especially as it is a quite technical summit), but I did GP with my children three times already. Once we started from the parking lot in Pont when the hut was fully booked but there was only one day with a good weather forecast. From hut to summit it is just a bit above 2000 m elevation gain, roughly half of it below hut level and thus not that hard, and on a good path, and no counter gradients.
Compare that with Dom, where you have to gain something like 1600m from the hut, most of it above 3k, and have a significant drop (300m?) down from Festijoch if you don´t go via the ridge. Overall I found that much harder. Funnily enough, the last time on Dom we got passed by a soloist who had started in Randa around midnight...
Anyway, if possible I would of course do GP staying at one of the huts, as it is much nicer (it is not an adventure destination anyway), just that I would not be put off from climbing it if you are in Valsavaranche on a beautiful late summer day just because the huts are closed!
CB