At the time of the BCE/CE crossover, Judea was a Roman annexe. It's political control was shared between the Romans and the Jewish Sanhedrin, or high council. This was a period of relative calm in what was mostly a turbulent situation. In 70CE the Romans sacked Jerusalem because of a Jewish uprising, which had been brewing for almost a century. Control by force was always on the cards and everyone knew it.
This is why the idea that a person would be allowed to get away with escaping their execution is ridiculous.
We have no evidence that the Romans executed Jesus outside of the New Testament and subsequent texts which used it as their core, however, even if we had a signed arrest document we could be assured that no resurrection took place.
Look at the situation from the Roman perspective. You are a Roman governor, whose reputation relies on your strict control over your men, your servants, your land and its people. Rome's laws and commands are sacred, and your word is law.
You have commanded a Jewish upstart to die by crucifixion. You send a soldier to verify that the man has died, because he seemingly did so much sooner than anyone expected him to. The soldier is commanded to break Jesus' legs, but does not do it because he decides for himself that the man is already dead, despite having no legitimate means of doing so. You then execute the soldier for not obeying your direct orders.
One of the Jews who ordered the man killed (the suspiciously named Joseph of Arimathea) comes to you to ask that this criminal's body be laid to rest, rather than hang on the cross as was traditional to serve as a warning to others not to cross (ahem) you. You reluctantly agree and the man is whisked off to a crypt. Sensing that this might have all been a scam you send two soldiers to guard the tomb overnight.
The next morning the tomb is empty. Your guards are apparently oblivious to the night's events. You consider killing them too, but you need all the help you can get now. You have been tricked!
For some reason, probably to undermine the threat of capital punishment, the Jewish council used you to "execute" a man they claimed to hate, only to bribe a guard (perhaps three or four) to help orchestrate a plan to rescue him right from under your nose. This man must be found!
So, you immediately mobilize all your men to start the search. You hastily write orders to all the garrisons outside the city to be on the lookout for the convict and his helpers. You double the pay for soldiers involved in the search as an incentive and offer a reward for information leading to his capture. Notices are put up around the region, every tavern, every farm, every stable is abuzz with word of the man who couldn't be killed. Too late, you realize this response was what the Jews were hoping for. They have recorded every detail of your incompetence for posterity. They spread rumours about the man's appearances dotted around the region. To one, two, three... heck even five hundred people!
You have been played.
This is what would have happened had a man really been able to escape crucifixion, regardless of how he did it, or who he was. There would be records of this manhunt on both sides. The Roman and the Jewish records would show strong evidence of these events. Letters sent to and from Rome itself would have been found, as would notices kept by garrisons whose ledgers and files we still have today.
The fact that no such manhunt was ever conducted can only mean one thing.
The Resurrection NEVER happened.
