In reply to petehaz:
Good job my memory's better than yours, and I've refreshed it recently . You will have been up into the Brenta, and the good news is it hasn't really changed since I first went in the early 2000's (if not before). The Brenta offers a 'linear' experience with routes running along one side or the other, or along the top. This means you need to start at one end or the other and work along one set of paths and return on another. Doing a path twice in opposite directions is no hardship as all the views are different the second time. You could hike up to Rif. Tuckett from the valley, but that's a 2.5hour slog uphill from Rif. Valsinella.
First, google '3/4/5 day tour Brenta', there's a number of suggestions / trip reports. The problem you might have is getting back to your start place without having excessively short and/or excessively long days. The following would make for decent full days:-
a) Take the Groste cablecar all the way up to the top station first thing in the morning. South-west along the path (316?) to Rif Tuckett in time for morning teabreak. Up the VF Dallagiacoma that breaks NW on the way up to the Bocca, back down to the bocca or the hut for lunch, then Sentiero SOSAT to Alimonta Hut in the afternoon. If you think that's too long or you start later you can skip Dallagiacoma. Or you could do Sent Bernini from Groste to the Bocca and down to the Tuckett hut in the morning (maybe with Dallagiacoma depending on time).
b) from Rif Alimonta, going up the Sfulmini glacier, down VF Felice Spellini, along Sentier Orsi and Sentier Bernini to Groste is a full day. 6 point crampons useful for the glacier as it'll have possibly frozen overnight.
Bochette Alte is a full day I believe. There is a couloir that will probably still have snow in in July. If you approach from Alimonta hut it's easy to miss the turn-off to the start . No routefinding problems if going south from Bocca del Tuckett.
I've not done Bochette Centrale so can't comment Theoretically you could run Bochette Centrale and Bochette Alte together in one day.
It can be tricky to work out what VFs go where and not every resource shows every one, Bergsteigen.com has excellent topos and maps. Komoot shows the VFs well too (hover over the hiker icons to find the names).
