There are many very nice places to stay in the cities you are planning to stay at much cheaper prices.
There are lots of place to peruse on the popular travel websites. These are our recommendations;
Florence:
Corte de Sogni Hotel
Great location, great staff, very nice breakfast, elegant rooms
About $1300 Total for 4 nights in October
Venice
Hotel Aquarius Venice
Part of the Ascend Hotel Collection
About $1000 Total for 3 nights
Great Venice location. Well maintained property with nice bathrooms.
If you are going to Venice, stay in Venice. Venice is truly magical at night. Don’t be tempted to stay in Mestre.
Rome
Hotel Artemide
Great location, large rooms,
attentive staff
Anout $1700 Total for 4 nights