Well, that kinda works. The only problem is that it is kind of like drawing names from a hat, and the skilled player still gets his name tossed in with the rest. Even though the people getting roasted more often get more chances at the bonus, it is still all random anyways and the skilled player still has a chance at getting the bonus, giving him an even greater edge than before.

What about trigger zones? Those only effect the client. Maybe a system of sucker tubes and trigger zones at the spawn points?

Like, somehow make it so each time the player spawns, it unlocks another layer of the passageway that leads to the power up. Enough deaths, and the passageway is available each time the player spawns.