This reminds me more of last year's Te'o situation than anything else. Te'o was considered a first rounder in a inside backer weak draft. It was even thought that he could have gone in the teens. He went early second (38th), and I'm sure that a lot of the slide had to do with teams not wanting to be a part of that circus - and that was for a guy considered first round talent.
In Sam you have a player who is considered a third-fourth rounder prior to this. There will be a lot of teams who do not want to put up with that kind of attention surrounding a player who might not be expected to produce as much. Call it the Tebow effect.
I can only see him being drafted before the end of the fourth by a team craving that attention. A team who would grab him more for the spotlight than for the player. If a first round talent dropped 10-20 spots, I would expect at least a full round or two for someone not rated as high who brings so much attention with him.