How lean is too lean?

You're on the right track... Carter used to offer strip kits for this reason, but since Edelbrock took over, they've cornered/took over the market on those. seems The Carb Shop has filled the void since then.. I used to work with a lot of carter stuff, back in the day when you could still find them in salvage yards. I've moved on to Holley's since.
The strip kits had several different springs in the kit, and even had a selection of shims to 'fine tune' if needed. (if I remember correctly..)
The Thermoquads had a small screw in the middle of the metering rod bar, that rode on a eccentric in the middle of the throttle shaft, to adjust metering rod 'ride height'. This made all the difference in the world in such conditions you're describing. unfortunately, the afb/avs doesn't have that...

I have 2 different "tuning kits" from Edelbrock. One for the 1407 and one for the 1405. It has a variety of jets, springs, and metering rods. I checked over this weekend, I already have the stiffest springs in the kit installed. But there are no shims in these kits. I think if I could figure out a way to shim these springs, I'd be in bidness. And a ride height adjustment to the metering rods would be awesome as well. I wonder if I can find shims from a Carter … and if those shims would fit correctly in the Edelbrock?