From my understanding, most agents tell their clients that if they don't get selected in the first 4 rounds of the draft, then they should hope to be a free agent.
You have a better chance as a free agent than as a 5th, 6th or 7th round choice. As a free agent, you can make the final decision as to which team to sign with.
As a late round draft selection, if he were selected by the Jets, who already have several q.b.'s on their roster, it would not be an ideal situation for Bray. However; if he could choose between, Pittsburgh, K.C. or the Jets, he could choose the one that gives him the best chance of making the team.
At the end of the day, I think his path will be similar to Crompton and Ainge. He will show potential but will bounce around the league to several different teams. He may make a roster, as one of the 52 active players, but he will not see any playing time, other than pre season. Then after two or three seasons, he will be out of the league....