Snag Keenum in FA. Keenum wasn't even drafted. He came into the league as an UDFA, and bounced around practice squads for a few years, but never gave up. He worked his ass off to get where he is. This paired with his success in Minnesota will surely endear him to McDermott and Beane. Keenum has also played in Dennison's system when they were both with the Texans, so he's already familiar with the offense.
Then I'd say draft Mayfield to hold the clipboard for a couple seasons. I'll admit I'm a fan of his but thats not the only reason im a proponent of drafting him. I really don't like the idea of trading away any of our extra picks in rounds 1-3 to move up the board and get a QB. We have a lot of positions that need to be upgraded on both sides of the ball and wagering precious draft picks on the success of a Rookie QB has always seemed crazy to me. I think Mayfield will be available in the late 1st round and maybe early in the 2nd. Mayfield character issues don't necessarily scream that he's a McDermott / Beane type of guy, but he is the first walk-on true freshman quarterback to start a season opener at a BCS school. At the least this shows resilience and work ethic, similar traits that have Keenum in the position he's in now. Theyre both Texas boys and Mayfield grew up watching Keenum play for the University of Houston, which happens to be his parents Alma Mater. Maybe McDermott and Beane think that Keenum is the perfect player as well as the right person to mentor Mayfield in his first few years in the NFL