My husband and I loved our 6 nights in Treviso, staying in this great apartment which may work for you if your sister is OK with sleeping on a comfortable sofa bed: https://www.airbnb.com/rooms/23622993?guests=3&adults=3&s=67&unique_share_id=88cb4a5d-cdfd-4a03-9905-0e2803d5db07 You can read my long review from September 2019.
Treviso itself is lovely and interesting, with canals and bridges, plenty of great places to eat, frescoed Venetian-style buildings, old city walls, interesting small churches and museums, a fish market on an island, some cool wire mesh art installations on some of the walls of the buildings, and many pedestrian-only streets and porticoed sidewalks. If there were tourists there, they were Italian.
Here's some of the wire mesh art of Mario Martinelli in Treviso: https://www.mariomartinelli.it/en/ombre-rete/
Our apartment was about 500 feet from the island fish market and 100 feet from the very interesting civic museum. Loved that neighborhood, but there are lots of nice areas in the old part of town. You could easily spend your whole time in Treviso.
Never been to Vicenza, so can't compare, but I'm really happy that you will also stay in Padua and Verona!