Hmm, its times like this I wish relativity didn't stop at the speed of light.. So, talking through my hat.... yeah, you'd get a shadow... a very fast moving shadow that I'm guessing would be moving too fast to see.... and it would be a long long way behind your craft.... think of how when you hear a jet airplane fly overhead, the sound appears to come from a long distance behind where the plane actually is when you hear it as a real world corolary. By the time the light (or lack of light for the shadow) went from your craft to the ground, the craft would likely be hundreds of thousands to millions of km away. I'd say just skip the shadow entirely for greater than light travel :)

Dreams are just nightmares on prozac...
Digital WasteLanD