I don’t think we have enough prominent American comics who have the self-deprecation and willingness to embrace the absurdity required for a show like Taskmaster. Bill Engvall or Jeff Foxworthy, maybe. Amy Shumer would be willing to make herself look ridiculous, I think, and Sarah Silverman would dive in headfirst, I suspect. But Lisa Lamparelli? Bill Burr? Can’t see it.
Incidentally, per @Joey_P’s suggestion, I’ve started a Taskmaster thread over in Cafe Society, so we can stop hijacking this one. I don’t know how to link threads, so if someone can clue me in, I’ll link it to this one.