You can travel in Israel on your own...it's easy, my husband and I did last October.(we're active retired seniors) We did get a guide for a few days and he drove us in our rental car to the Christian sites, Tiberias and the dead sea. He also met us for a few days in Jerusalem so we could more enjoy the history.

Another option is Isram Travel. They can set you up for a few days of touring with an escort and you can do the rest on your own. Everyone speaks English, the roads are good, the food is good, the hotels are fine. There are also side tours for 2-3 days to Jordan that you can arrange on your own either when you are in Israel or before you go.

Good luck, it's a great country to visit.