Reddit reviews Crucifixion in the Mediterranean World (Wissenschaftliche Untersuchungen Zum Neuen Testament)

You can't even get scholars to agree on if he was buried at all (Bart Ehrman is one who suggests the possibility). Their thinking, which I tend to agree with, is that Jesus was an enemy of the state who fomented an uprising and called himself a king. This was an assault on the Pax Romana. Enemies of the state were left for the vultures and dogs to pick over the bones after their dead bodies were tossed over a cliff. Those who support burial as a foregone conclusion will argue that if there were Jews with the money to have Jesus buried then the Romans would have allowed it.

There is some data in the historical record to support either position. See John Granger Cook's Crucifixion in the Mediterranean World for an exhaustive study of the history and practice of crucifixion, what kinds of people were crucified, and when known, what happened to the bodies. I've found this book to be an endless source of fascination. If you don't want to cough up the $80 for a copy (it was almost $200 when it came out so maybe it will come down further!) Google books has a lot of pages on preview.

The heavy hitter is Crucifixion in the Mediterranean World by John Granger Cook.