drop Dolomites to only SOME of the trip
add Verdon for sure
add Tarn for sure
add SOME and I only mean SOME Cham Trad, opposite side of the valley for some sport multi's is recommended provided you're looking at 6b or higher (lower than that its pretty ordinary)
add Grimsel
add Engelhorn
2 days in Val d'Aoste for Paretoni (Bega) and Lomasti (Silvie) are highly recommended once it starts to cool off (October)
late in look at Font, great for the family thing
Riglos is good but it can be a bit out of the way, if you're stretched for time there's conglomerate in the big red cliff opposite Les Callanques, Greece and in Vars. Limestone everywhere to the point you get really fussy.
Outside of those there's shedloads of granite, sandstone & gneiss all over the place to cover a day's climbing on the way to elsewhere...pick and choose according to location.
The States is likely cheaper.
Have a great time.
I have more time again in February, pick my brains then if you remember.