Preferred carburetor for mild 360?

Might try turning the fuel pressure down to 5 to 5.5 psi on your carb and see it that helps.
Every AFB or Eldebrock I have had will idle smooth.
Check for vacuum leaks, dont overlook or assume anything here.
Put a fresh fuel filter in while you are at it.
Fresh gas is a must, especially if it has a couple of year old gas in it.