If i got drafted by the Bills, i wouldnt mind as much(in regard to the other teams that is). Id do my job, and get outta town as quickly as possible, and might actually enjoy the lack of attention id get playing there(would also make it easier to escape). When the teams greatest claim to fame is losing superbowls, i couldnt help but pity them if i were a player.
If i got drafted by the patriots, id demand an ridiculous sum of cash. I wouldnt go so far as to be a cancer in the locker room, but it would be damn well known i didnt want to be there and would get out at any chance. I would also refuse to live there, pull a Jason Taylor with Washington.
If i got drafted by the Jets, id immediately would declare for canadian football/UFL or run into traffic. Whichever is the fastest solution.