Apparently 9 teams. Mahomes was the 10th pick and NONE of those teams had Brees/Brady/Rodgers. To be fair, I don't know who's 'face' you're referring to to, but it obviiously wasn't such QB needy teams as Bears, Jags, Jets, and Bengals. Matter of fact, most prospect rankings had Mahomes as SECOND BEST QB or worse - e.g., below Trubisky and Kiser. Maybe they had their heads turned.
Nonetheless, I fail to see Miami in 'control' of their destiny. Players and coaches are trying to win. I think EVERYONE acknowledges that. Unless 'control' means control NOT getting the #1 pick