Te journey time via Toblach - Bruneck - Brixen - Bozen - Kronmetz - Trient is about the same, but it costs more because the itinerary is longer. There are 3 daily connections:
Cortina dp 8.05 - Roma Termini ar 16.29
Cortina dp 10.05 - Roma Termini ar 18.28
Cortina dp 13.05 - Roma Termini ar 21.45
Change at Toblach, Franzensfeste and Bozen or Bologna