340 motor pumping excess oil on right side

Let's go back to the basics here. It sounds like you made multiiple changes on the motor & the oiling problem arose. I would take it back to where you started by putting all of the original parts back on it. From there, make one change at a time & see when the oiling problem begins. I had it drilled into my head from my first hot rod, "Make one change at a time & see what happens."