Hi Sarah
The 2 nights not eating at the hotel the tour manager organised restaurants for us as a group and most of us took that up.
The first was at the Principe which was a very upmarket restaurant and had the price tag to match. Nearly fell off my chair at the service charge they included on the bill. 22.5%. I made sure to finish my wine after seeing that.
The second was a pizzeria evening. Thoroughly enjoyable. Loads of choice and tip what you want. Think we were probably the noisiest group they had had for quite sometime. Pricing was also very reasonable.
I don't know whether you will get the same organisation as I know the tour manager is different to the one we had. But hopefully that information will have been passed to your TM.
For lunches we visited local cafe's for panini or such like. However be aware that on the Sunday you may need to go further afield than just down the road as all the really local cafe's ran out of food!
Don't forget on your way to the ruins at Pompeii you will pass a really nice gelateria. Can't remember the name but it is totally white inside and out and serves gelato, coffee and cakes. The range of gelato is fantastic and well priced.
Enjoy. I most certainly did.
Sue