How do you plan to actuate the door? If a switch, the switch shown is a standard switch that charges the cap when the 555 is off. If you use a low-leakage capacitor (like a ceramic cap), it takes no power, Small modification to a DPDT switch will prevent all drain on a battery (after the tiny current to charge the cap) and no other losses through the transistor base.
Or do you need a hands-free way to turn this on from a simple spst switch?

Or do you need a hands-free way to turn this on from a simple spst switch?



