In addition to maybe lowering the wait to 3 seconds, maybe it's also possible to make it so that the time you have to wait doesn't get reset every time you die? Resetting to 5 seconds after dying is really the biggest reason for why it's hard to leave a Turbo room.
This would also be a good alternative in my opinion, and if it happens then you can just keep the 5 second wait because at least you will leave the room guaranteed.