I call every team the week before the draft to get a heads up on which of my clients they might have the most free agent interest in if they're not drafted. I don't like surprises, and I want to know beforehand if a team is interested so I can study their situation closer to determine if it would be the right place to put my guy. If there's an advantage to being undrafted, it's that you can choose where you want to go if there's multiple teams interested. Obviously things change quickly during the draft and you need to be on top of everything. For example, if you represent a quarterback who might go undrafted and a team who had a major need before the draft selects one in the 1st-4th round, you obviously no longer want to go there. The most impotant thing when placing a free agent is puting him where he has the best chance to make it. Getting a big signing bonus is great, but only if it's the perfect situation. One of my guys this year ended up being one of those 20K+ guys you mentioned (he was the highest paid free agent in Bills history), but most importantly he's in the right place. Some teams don't have the cap flexibility and can't afford to pay free agents big bonuses. Because of this, a lot of agents pass up great opportunities for their clients by puting them in lesser situations for a little more money up front. When my players and I are developing our game plan going into the draft I ask them, "Do you want to make a few more thousand now, or $230,000 more later?" My guys trust my knowledge and know that I'll do whatever's in their best interest.
When the draft is winding down it becomes utter mayhem. If you represent a top-priority free agent, teams will start calling as early as the 5th round. As soon as the draft ends, every one of my phone lines lights up three calls deep with teams making offers. It's the most stressful thing you could imagine multiplied by ten. It's kind of crazy when teams are trying to recruit one of your guys and you have Bill Belichick on one line, Mike Shanahan on another, and Bill Polian on the next all trying to sweet-talk you. Basically, you need to make a decision rather quickly or you might lose the perfect situation because teams can only wait so long until they have to move on to the next guy.