I just got back from Elvas on a day trip from Evora.
At the moment, there are buses between Evora and Elvas, though few. I took the 9 am bus to Elvas and the 4 pm one back. The bus is the one that goes between Evora and Badajoz everyday.
Everything seems to be closed today, or at least they only opened in the morning. It is a public holiday here. The streets were really quite empty but that suited me fine. There were also very few tourists.
I managed to walk around the city along the walls or the ditches. The walls were well-preserved. I also walked around the Fort of St Luzia and the tiny Fortalice of St Mamede. I could not enter both either. The former was supposed to house a military museum, but it was closed. The latter seemed to me to be a private dwelling now and when I got close the dog inside went mad.
The one thing I managed to get into was the tiny Church of the Dominicas. This used to be part of a monastery. The interior walls and covered with gorgeous azulejos.
The aqueduct was nice too and very well-preserved.
I think that Elvas can make a nice day trip from Evora. If only things were opened today. Better get there before it becomes another tourist hotspot!