Evora Monte makes for the perfect stopover between Evora and Estremoz. This place is best visited by your own transport otherwhise there are a few busses leaving you at the bottom of the hill in the modern part of the village.
You could see the whole village including castle, well tower, in less than 2 hours. You can walk on the defensive walls, further on there is church and some cisterns. The view from both these walls and the castle are just amasing, with good weather you can see both Evora and Estremoz. There is a tourist office just a few steps away from the castle but it was closed when I was there even though the timetable showed it should have been open.
