I presume you have tried larger jets?
On the Edel [ not Carter ] carbs: I believe some models had the main system pick up tube in the secondary boosters with a bullet shaped tip & the hole in it was smaller than the jet! So the restriction acted as the jet, not the jet itself, & reduced flow. There were some pics, I believe on Speedtalk, but a long time back.
The fix was to enlarge the hole/cut off the bullet end so that the jet regulated flow. No one seems to know why this was done...
So remove the boosters & check.
There is a secondary starter cct, usually a hole or small protruding brass tube from the booster ring that aligns with the top of the vel valve. This starts the sec fuel system. It has an air bleed. You could try putting a thin wire in the AB; that will start the system sooner & make it richer.
Carter had different weight/shape vel valves. I believe these are discussed here:
www.carburetorshop.comHeavier weights come in later, which might be what you need. You will have to experiment by adding weight. Also, the angle of the vel valves differed. Some were more horizontal, others angled downwards. I would think you need one that is more horizontal, to open later. The weights can be trimmed to do this.