Kevin,
My '69 Dart was stolen in 1994, so from memory. I recall the hole was drilled in the smooth part of the throat, opposite the bowl, about halfway vertically as in diagram. About the diameter of a Q-tip stem (1/16"D?), since I put one the hole to filter (hollow plastic stem). At first I thought to plug the hole since I thought maybe a CNC machine went crazy, but it seemed to run better with it open. I got the good carb thru auto parts in Boron, CA.
The rough idle seemed a lean problem, but adjusting the needles and even drilling the jets didn't work. You could optimize a little with the needles, but never get it right. It would idle OK in neutral, but in drive it slowed way down and stumbled, sometimes dying when you tried to accelerate. My wife hated driving the car. I have a Holley Projection on a Newport and it acts the same if you turn the idle too lean.
I suspect a mixture distribution problem. Slants are bad, with different sized runners. The fuel droplets don't follow the air around turns, especially at idle where the fuel dribbles in from the idle circuit. The hole was above the throttle plate and idle fuel enters below the throttle, so not sure how the hole helped, especially since opposite where fuel enters.
There are other carbs for Slant Six's, like a Carter 1 barrel. You might ask others what has worked best. If I still had my six, I might have tried a Super Six manifold w/ 2 barrel or even an Offenhauser 4 barrel with a 370 cfm carb. In theory, a spread-bore carb (small primary bores) gives better low speed operation than a 2 barrel. Even better, you could mount a small throttle body and control with a Projection or Megasquirt controller. Multi-port injection enforces fuel distribution, but that requires custom machining and welding for a Slant.
BTW, the City of Atlanta was helpful on my stolen car. After 4 yrs, they sent a postcard requiring a reply or they would "unfound the crime". The mayor wanted to improve crime statistics. After 6 yrs, the Marietta Police recovered my license tag on a stolen Jetta, but not the car. Some suggested I cruise the projects looking for it, but I always thought it was rednecks.