Pro football focus has this to say about Barrett: 

https://www.profootballfocus.com/news/2018-nfl-draft-prospect-watch-cotton-bowl-classic

Barrett has played his entire college career at quarterback, but like others before him in Columbus, he is expected to switch positions at the next level. Barrett was excellent against the blitz this year, completing 70.3 percent of his attempts with 10 touchdowns and no interceptions when faced with an extra rusher. He struggled under pressure, however, as his 130.7 passer rating in a clean pocket plummeted to 48.0 when affected by pressure.

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So, what position is he projected at in the NFL?  I agree that he is not an NFL qb, but I also don't seem him at any other position.  RB is the only thing that may be in the realm of possibility, but I don't see that either.