No, there are no "historical accounts" that say that. The Gospels are not history. And it is easy to back up the standard for Roman crucifixion are well documented:
Crucifixion - Wikipedia
"Corpses of the crucified were typically left on the crosses to decompose and be eaten by animals."
You on the other hand only have a book of myths that support your beliefs.
As to the common grave that was also the norm. Do you even know what evidence is? You keep claiming that others do not have it when that appears to be your flaw.
https://ehrmanblog.org/why-romans-crucified-people/
"Everyone wanted a decent burial in the ancient world. It was far more important to people then than it is to people today. A decent burial, for many, was required for a decent afterlife. It honored the body of the one departed. Not to receive a decent burial was disgusting, scandalous, gut-wrenching, debasing, humiliating. And so Romans did not allow crucified victims – especially enemies of the state – to be buried. They left them on the crosses as their bodies rot and the scavengers went on the attack. To allow a decent burial was to cave into the desires precisely of the people who were being mocked and taught a lesson. No decency allowed. The body has to rot, and then we’ll toss it into a grave."
You are making extraordinary claims in regard to the crucifixion. You need extraordinary evidence. All you have is a failed book.
Now that I have shown you to be fractally wrong do you have any excuses for your lack of evidence for your claims? Religious books written more than a generation after the event are not very strong evidence at all.