From the experts:
Téa Leoni and David Duchovny named their kid Kyd in 2002, but he usually goes by his middle name, Miller. Probably a wise choice, given the homonym.
On the other hand, the association with Elizabethan playwright Thomas Kyd, who wrote a version of "Hamlet" before Shakespeare, is intriguing. And if you're looking for a name that can't be nicknamed, well... here's looking at you, Kyd.