The journalist has signed up pretty Jewish actress Noa Tishby to front the The Woody Allen Israel Project, and in a new online video, she urges readers and viewers to pledge cash to the campaign.
And the project appears to be working - with 45 days to go toward the goal of raising $18 million (£11 million), the Jewish Journal has raised $900 (£562).
Eshman says, "($18 million) is what an Allen movie costs... That will enable Israel to enter the world's imagination in a way a billion dollars of hasbara (public relations efforts) couldn't possibly buy. All Allen asks for is funding, and complete control over his project.
"As far as I know, Allen himself has never been to Israel. For a man who has done much to define the image of Jew in our time, this needs repair."
In her video plea to Allen, Tishby says, "Don't worry, we're gonna bring you home."