We have just returned from a week at Villa Pia which is on the Umbria/Tuscany border in Italy. It was only 1 hour 40 on the plane to Bologna, and then a 2 1/2 hour drive which was a bit of a mission but worth it.
It's a fully catered small hotel, totally centered around children. All your wine, spirits, milk, juice, tea, coffee etc is included, as is breakfast, lunch, 4pm cake, 6pm kiddy tea, and a four course evening meal for the parents. All of the adults sit around one big table for dinner each night, ski-chalet style, which we really enjoyed but might not be everyone's cup of tea. Up to 16 families stay there at a time so it's highly likely you'll find a number of people that you really get on with. It has a small soft play, two trampolines, tennis courts, sand pit two swimming pools, games room etc and we found it really, really relaxing. I have to say I don't think I'd want to stay more than a week, as there is very little to do (although you can get out and about in your hire car which we did on the Thursday when they don't provide lunch or dinner).
The only downside I'd say is that it probably isn't suitable for a child that isn't walking yet as the courtyard where the children play is gravel with some astroturf which isn't great on little knees.
The rooms were simple but immaculate, and cleaned every day. We put the kids to bed every evening while we enjoyed our dinner, happy in the knowledge they were safely asleep. We took our baby monitor to dinner every night just in case they woke but only did once all week. Have a look at
http://www.villapia.com/