Pierre/Neil,
Just went down and looked at two of my 4300 carbs I have. I am very good on Qjets and Holley’s. These are not my specialty.
Visual inspection tells me that the acceleration pump may cause gas film on the top, down the front and on an intake manifold, but it will not drain the float area. If you take the carb off, there are 4 soft plugs “staked” into the carb body. They are at the base of the bowl area above and between the air mixture screws looking from the bottom. Two are connected to passages for the acceleration pump and two are for other purposes to machine holes in the bottom of the float area.
I would suspect that if you are not “percolating” due to heat, then one or more of them must be weeping. These soft plugs are common on the Rochester Qjet and prone to leaking. If they are and it would easy to check by putting a paper towel under the air mixture screws up against the throttle plate in the front. But if it happens over time it may be hard to tell. Like a week to drain out.
You can clean all of the soft plugs with solvent and then apply a mild layer of J/B weld over them. This is what I do on Qjets.
Rob