In reply to Roberttaylor:
Driving to anywhere on the continent from Edinburgh, I drive down to Dover or Portsmouth and cross the channel on the first day. This way you can make a prompt start on the second morning without losing time crossing and due to the time difference.
Normally 9 hours from Edinburgh to Dover docks, so start at 7.30 in order to miss the Tyneside rush hour then A1/A14/M11/M25/M2/A2 gets you to Dover at 4.30 with an hour in hand for checking in for a crossing at 6.30. Arrive about 9 pm and stay at the Etap hotel on the edge of Dunkerque, leave say 7.30 in the morning and go down through Belgium to Luxembourg, avoiding French tolls, to fill up on cheap diesel and then across Germany and Austria.
Viamichelin gives about 13 hours drive to Cortina, which I would expect to take 16-17 hours with stops, so I'd break it up, Mittenwald sounds good.
Hope some of that is usefu;