A Few Days in Cinque Terre
Since you're looking to do a bit of traveling and not stay in Rome for the entire two weeks, I would suggest making a trip north to Cinque Terre. If you haven't been there before, it is a beautiful area where you could enjoy the outdoors, hiking between the five towns and spending some time at the beach in Monterosso. If your boys enjoy the outdoors this would be a great place for them to have fun at the beach and you and your husband to enjoy some wine from the region in a quaint restaurant at night (the local wine is actually quite good.)