If USC decides to get rid of Lincoln Riley, I could see Prime going to USC. Otherwise, he is probably going to the NFL with Shadeur. It might be a challenge to make that a package deal, though.
The teams most likely to land the top picks in the draft include...
Jacksonville
Las Vegas
NY Giants
New England
Carolina
NY Jets
Tennessee
Cleveland
Some of those teams don't need a quarterback (e.g., Jacksonville, New England, Carolina given that Bryce Young has looked better lately and maybe they'll give him another year to try one more time). Some of those teams don't need a coach (e.g., New England) though many of them will need both.
One of those teams would have to have already fired their coach or fire their coach to hire the Father and make it clear Shadeur is going to refuse to play for any other team if he's drafted.
Maybe the team can work out some friendly agreement (with New York's thumb on the scale) to send a team a few picks to switch orders to accommodate them not drafting Shadeur and causing a crisis.