He won't be the next "American Idol" ... but recent cast-off Joshua Ledet has already gotten an offer to appear in a real-life stage production ... with a bunch of naked men.

TMZ has learned ... the top banana at the Mantasia male strip club in NYC has been super interested in Ledet ever since "A.I." fans dubbed him "Mantasia."

In case you haven't been watching, Ledet earned the moniker because his powerful voice drew comparisons to a male version of Fantasia Barrino.

But the head dong wrangler at the male review believes Ledet's nickname was a message from the stripper gods that the two were destined to work together ... even if Josh doesn't drop trou.

"We'll find something for him, he's a very talented performer," the stripper boss tells TMZ.

We called Josh for comment -- so far, no response.