Rocacorba is a nice climb. Stops with a dead-end, so very quiet. Les Engels is also a beautiful ride. Drivers are so courteous.
You'll see pro riders all over the roads. Maybe even Dave Millar.
Ex-pro Christian Meier has opened a shop called The Service Course which is very high-end and extremely helpful. Worth a look if you want to rent a bike. They have a club ride at 9:30 on Sundays. He's also got Espresso Mafia and La Fabrica if you want to caffeinate or eat. Both very good.
I too stayed in an Airbnb near the cathedral. Cheap as chips. You can be anywhere in town and ride easily as it's so small, but you may as well be in the picturesque old town.
Where did you stay?