They may lose a slight bit of RH bringing the RH of the air in the container into equilibrium with the cigars. Beyond that as long as the container is airtight and not opened at all it should stay that way a very long time.

I think you might be over thinking things a bit. Toss them in an airtight container of your choosing and leave them. Smoke from your normal supply and empty the overflow.when you have the room, or add a boveda pack sometime in the next month or two to the overflow. The biggest thing is to leave the container closed unless you add some sort of humidifcation media.