We will have no access to internet or cell phone in Italy. Is a phone card the next best thing?
It is the best thing even when you have a cell phone.
A phone card will work just fine. If you want to research cell phone options, see here: http://www.lodgephoto.com/blog/going-wireless-in-europe-what-you-need-to-know-about-cell-phones/12/
Mary, you'll be traveling just like we all used to do, not all that long ago. Enjoy the break from our super, possibly over-connected world.