Date of crucifixion

In his *The Unauthorized Version*, Robin Lane Fox argues for a March 36
A.D. date for the crucifixion of Jesus.  He does so on the basis (a) of
Josephus, who assumes that Antipas's marriage followed Philip's death in
33/4, and (b) the accuracy of the Johannine chronology of the Passion.

I would be most interested in critical appraisals of Fox at this point.

Al Kimel 

Arise, arise, Riders of Theoden!/Fell deeds awake: fire and slaughter!/
spear shall be shaken, shield be splintered,/a sword day, a red
day, ere the sun rise!/Ride now, ride now!  Ride to Gondor!