This new system is hard to say right now but my initial thoughts are:
since they are tokens...anyone running that Floor must need one of them so your chances of having something only you can roll on are almost non-existent now.
your only hope is that everyone is going for the other two pieces and not yours. I have been lucky and got all four of my tokens for the week but I can see having to run this a ton...that would fit how they want the content attacked...should always have lots of people in the DF for it.