There was a thread not long ago about this. But my cobra shipped from Cali to Mass was $1,600 if I remember correctly. Enclosed trailer. Kinda sketchy company but I am cheap. If I were to do it again I'd go with Intercity Lines. Cheap and do the "white glove treatment" that high end shippers do.
I shipped my '55 Ford from NE Ohio to Vegas enclosed for $1,300. I used South Beach Transport (they are a broker). It got here in one week, even with the truck breaking down in Nebraska.