Welcome to the world of aftermarket hydraulic lifters. I have a '53 full pressure 235 which has 10,000 miles on it and does exactly what yours does until it reaches operating temperature, then runs as quiet as a mouse. It has done that since it was rebuilt. I was hoping that it would go away, but it has not. I just let it run at idle until warmed up and live with it.

The issue with fuel delivery: Tell us about the fuel tank. New? Thoroughly cleaned? Don't know?
Pull the fuel line from the carburetor and put a rubber hose on the end of it to go into a Diet Coke bottle and turn the engine over with the starter with the ignition off. You should get some pretty decent spurts of gas going into the bottle in just a few revolutions of the engine.

If you do not need to ever use the choke to start the engine, you are running too rich at idle. Adjusting the idle/mixture screw may address this.
Pull all of your spark plugs to see what they will tell you. They generally speak volumes. Dry black soot will indicate too rich.
Carl


1952 5-window - return to "as built" condition | 1950 3100 with a 235 and a T-5 transmission