My best friend and I are staying 7 days in Sibiu. We want to have one base hotel and just do day trips in our rental car. We so far have decided we want to see the following...Brasov, Tudra Salt Mine, Sighisoara, Corvin Castle, Cozia Monastery, and the Transfagarasan Highway. Are some of these doable combined together in a day? Is there something we should eliminate? Anything we should add? We are going to be there from Oct 2-9. Also should we give up a day in Sibiu to give ourselves a day to check out Bucharest?