Carb recommendation needed...

I have a 408 with the following:

10:1 compression
.545 lift cam..241 and 247 duration
Eddy heads
Eddy rpm air gap intake
MSD ign
TTI headers and 3 inch exhaust

I have had 3 825 BG Mighty Demon carbs on this engine and it still runs
pig rich at idle. I have done everything BG tech people have told me to
do including smaller IFR jets.

I am getting ready to pull the carb and toss it. Can anyone please
recommend a good carb for this engine? Size and brand .

Thanks in advance,
Dustaar