How to debunk the resurrection?...

[Minimalist]

I know about "The Lost Tomb of Jesus" film, but I've read that it's used sloppy methods and is generally unreliable.

Simcha Jacobovici is a con artist.

http://en.academic.ru/dic.nsf/enwiki/5178116

Following the media's portrayal scholars present at the symposium accused Simcha Jacobovici and James Cameron for misleading the media in claiming the symposium reopened their theory as viable. Several scholars, including significantly all of the archaeologists and epigraphers, who had delivered papers at the symposium issued an open letter of complaint claiming misrepresentation, saying that Jacobovici and Cameron's claims of support from the symposium are "nothing further from the truth"

And

Israeli archaeologist Amos Kloner, who was among the first to examine the tomb when it was first discovered, said the names marked on the coffins were very common at the time."I don't accept the news that it was used by Jesus or his family," he told the BBC News website."The documentary filmmakers are using it to sell their film.