Here's an idea on how to take a quick test for a vacuum leak...
While the engine is running, hold your hand over the primary bores of the carburetor (the ones with the choke plate) and with a cupping of your hand over the choke plate (my hand is large enough, small hands maybe not so much) try and choke the engine some and note any change in idle speed or quality. Does the engine pick up speed and seem to smooth out? Does it not make any change at all or run worse? These answers might be clues.
If your engine is warm already, sometimes you can do this with the choke plate too (once the choke heater has warmed enough and is no longer on the high-idle cam) Other times, I have folded a shop rag and laid it over the air intake (ONLY AT IDLE SPEED) to help determine if I might have a vacuum leak. As I said, the changes or NO CHANGE result in idle speed/quality help me to determine if the engine is running lean or running rich
which helps me to decide what might be going wrong. AN EXHAUST GAS ANALYZER TAKES ALL OF THE GUESS WORK OUT, but these suggestions I am talking about are old-school approaches in determining whether you have a rich or lean idle condition.
My guess is you are running lean, usually caused by a vacuum leak and if the carburetor has been built properly it is often at the base gaskets of these 390's, usually a wrong gasket or bad spacer plate but never rule out a brake booster (you can temporarily cap off any vacuum ports going to the booster or other items)
Like I said before, there are so many angles to start with, but to diagnose this, a person needs to know the basics of what might be wrong. The basic question: Is it RICH or is it LEAN.
What city & state do you live in? Maybe somebody here on the forum can come by and take a look.