Mark, it is not uncommon for these cars to idle slower when hot, the idle speed will pick up initially as engine WARMS and the oil temp rises (and viscosity thins) but it is not unusual for the idle to fall way down when the motor gets HOT (as in idling in traffic on a hot summer day hot) because of higher intake air temp, fuel vaporization in the system, or both.
Band-aid cheap approach turn up your idle speed in the summer.
More expensive approaches cooling system upgrades such as electric fans or re-cored radiators.
For reasons unknown the hot slow down phenomenon seems to be worse in old tired engines than in fresh ones, at least in my experience.
I do not suspect a vacuum leak at least in what you have described so far.
The drain ports serve a purpose which is to prevent or at least diminish raw fuel going into the cylinders, gas is nowhere near as good a lubricant as oil, the drains do their job with the motor on as fuel should not be pumping with the motor off (or at least with the ignition off). I would not block them for long term operation of the car.
Good Luck, Greg