If he chucks it during EVA, I think he's a cinch to shatter the time aloft record. Not to mention height and distance.
I was just joking on the Shuttle Launch Live Thread last Thursday that they should permit Christer to zing one toward Earth on an EVA, but I'm amazed to find out today that he is actually taking a frisbee with him on the mission and will be tossing it while inside (probably inside the ISS) to "stimulate interest of children for space exploration" in his words.
See this story from ABC News for more: How Long Will a Frisbee Fly in Space?
Excerpt:
But Fuglesang says he has no thought of taking it out on a spacewalk.
"That would probably be the last spaceflight that I do in that case," he says.