Oh, okay, I misunderstood what you were going for, sorry. Hmm, in that case... I would say that you'd have to demonstrate disarming your trap within the time limit to at least one of the Marshals in your chapter, and let them have final say on whether it's enough time for someone to blindly disarm it; I'm assuming they'd likely set a minimum time of 60 seconds, anyway, for timing conventions noted above.
On a side note, having a trap trigger, but having a delay before the effect actually goes off, is something you'd likely have to clear with a Marshal in the first place; the rules say the trigger on a trap has to have either a visible (blinking light) or audible (a beeper or snapping mechanism) means to convey it's been tripped, so if you use a wind-down or other timer that only starts once the trigger goes off, the person disarming it needs to be told that they have time to disarm it before the effect happens, and in theory only a Marshal should be giving them that information. If that's not the case, and the timer sets off the trigger for the trap when it reaches the end... Personally, I wouldn't allow that trap into game, unless the timer ticking down is VERY obvious (like a stopwatch or a ticking sound).