Hello rainspooner,
After Jaen, you might want to try Cazorla. It's a wonderful white village near Baeza and Ubeda. It has a wonderful castle with a museum inside--you'll get an escorted tour, in Spanish, of course. You can take lots of great walks, and the town itself is great. It was the only place in Andalucia where we saw the locals really dancing Sevillanas in the bars. We stayed at the Hotel Guadalquivir--spotless, newly renovated, cheap. tel/fax 9 53 72 02 68. Next to Cazorla is La Iruna, which has another amazing castle, in ruins, and a spectacularly located public swimming pool--rather like a 5-star hotel. Have a great trip!