CZLN6 nailed it.
I was in this same boat - same behavior.
I had a number of issues.
1. My fuel pump was putting out too much pressure 7-8 lbs (and it wasn't very old either - but had been sitting for a good year+). When I replaced the needle valve and seat, it would be okay for a month and then re-appear. The new needle valve would work okay for a while but then not be able to handle the pressure. I got an Airtex replacement pump that put out within the 4-6 lb spec. Certainly check the pressure on a replacement pump a well - don't assume that a new one will meet spec. I checked the pressure by putting in a T-fillting between the soft line going out of my carb. If you don't have a soft line you'll have to rig one up etc.
2. My original needle valve and seat did need to be replaced.
3. When I continued to see fuel on the exterior of the carb I thought the issue wasn't resolved (see below for more info), and so I lowered the float (raised it if you have it inverted) by 1/32 as the spec reads 1 3/32 +- 1/32 (if I recall correctly) - I haven't changed it back yet, but I plan to try it.
I continued to see some leaking, which turned out to only be on the exterior of the carb - and didn't see any wholesale fuel flooding the carb, and the carb was running well.
Additional leaking issues were resolved by:
- Replacing the fuel line going into the carb. I don't think the original line wasn't seating correctly, which caused a leak and or may have caused the fitting into the carb to become unscrewed.
- The fitting going into the carb kept loosening up. You could tighten it, go on a 40 mile drive, and when you stopped there was fuel on the exterior of the carb. Using some blue threadlocker on the fitting going into the carb. Note: You may actually want to try teflon tape first. Mechanic friend told me this isn't that uncommon - that the fitting vibrates lose.
These second issues visually can look like the issue where too much fuel is getting into the bowl -but you can tell the difference because the carb will run well but you see fuel on the exterior of the carb.
With the flooding issue going on it will be hard to know whether all kinds of settings aren't optimal, carb accel pump setting, timing, plugs, jet, float setting, advance - as the car will be running so crapola. So, don't get too sidetracked with other settings until you get the flooding issue fixed.
Good luck, let us know how it goes.
matt