Dolomites Rifugios in Early October

Hi, my wife and I are looking to hike hut to hut in the Dolomites in the first wee of October. After doing some research I understand most rifugios are closed at the end of September but there does seem to be hope that some might still be open in early October.

We are planning to only do two nights, and was wondering if anyone knows any places that should be open at that time/ routes for a 3day two night trip?

Thanks!