I find this quite relevant to my interests
How fast do you think this RP would progress each day? And how will our characters survive without food?
You will have food with you when you arrive there. Obviously, it won't last forever. So by the end, your characters will be hungry. At some point, when the food is completely gone, I may put up challenges where you can get food. But it's up to you as the players to choose just how important you want the food to be. For example, you could get trait penalties if you don't eat.
The progress each day would be quite small, especially if players only post one post each day and only discuss the RP in the OOC thread half an hour each day. But the things that would need to be done when you reach a new chamber would be this: Describe what you see in the RP-thread and tell what your character feels. Then, discuss it in the RP-thread. You can ask questions about the challenge and what choices your characters have in the OOC-thread, and naturally discuss all things you normally would in a OOC-thread. Private messages would need to be sent to me as well. For example, you can tell in the RP-thread that your character will pull a a switch at the count of three, at the same time as another player, but in a PM you can say it was a lie and that you won't actually pull it. PM choices over-ride RP-thread choices.
edit: I think I'm ready to open up a OOC and Sign-Up Thread now. I'll just go with the flow and plan things according to what is happening in the RP.