I am in the process of planning our 6th hiking-focused trip to the Dolomites.
When I saw this post, I started thinking about what I would suggest to you for that and the trip down to Siena. But I had a brunch for friends to cook, so did not post right away. And now Roberto has already suggested exactly what I would have. So I will just add some suggestions for Ortesei, and a possible recommendation for your Siena stay.
With a group of hikers and non-hikers, Ortesei is perfect. Or the adjacent village of Santa Cristina—- not really a charming village like Ortesei, but some excellent lodging options, with or without swimming pool. Definitely spend 3 nights, so you have two full days for hiking, one on either side of the valley. Non-hikers can enjoy riding the lifts up to Alpe di Siusi and the slopes of the Puez-Odle group on the opposite side, for great views, a nice lunch at a mountain restaurant, and easy strolls, while you enjoy your more strenuous hike.
I can post back with hiking suggestions later, when your plans have firmed up.
Lago di Garda makes a perfect next stop; we like Malcescine at the north end (we will be there in September), but there are other good options. Many of the hotels will have minimum stay requirements in mid-summer. Plan on 3 nights here.
For Siena, I will just suggest an agriturismo just outside the city that has 6 swimming pools of various kinds. Crowded on weekends but not too bad mid-week,mar least when we stayed there.
https://www.mulinodiquercegrossa.it/en/index.html
Look it up on booking.com for more photos and reviews. I cannot post that link because it is too long.