Draft Corral or trade down?

After yesterdays college games it pretty obvious that Corral is the only QB that fits Caserio's criteria in the upcoming draft (plenty of tape against strong competition but doesn't have an overwhelming team advantage that would cover for his flaws). However with the substantial number of teams that need a quarterback, would it be better to trade him for more picks (Lions have 2 for Stafford, Atlanta will have a high-ish pick, WFT has a history of getting "their guy" no matter what the cost) or trust that the picks the team has this year and the picks from a Watson trade should be enough to revamp the team?

Thibb will probably be taken by the Lions so lets act like he won't be there when the Texans are on the board.