In general, I recommend the Aman in the summer and the FS in the winter....but with your tribe in tow, the FS will be better able to accommodate you.

You may consider booking a small residential unit with the FS. They have two bedroom (and larger) apartments at this property. Unlike some properties with "residences," these are all in the main hotel building, and you won't at all feel isolated. I suspect the cost, particularly off season, won't be materially greater than booking two traditional rooms.

Most, if not all, of the apartments are bookable via Amex FHR or fspp.