Before you pull the heads, just go through and readjust the valves. If you have an intake valve that's too tight, it can stay open and cause a backfire through the carb. After you get to zero lash, I usually just go 1/2 turn more on the rockers. Service manual used to call for 1 full turn, but with any aftermarket cam, lifters, and springs, the motor wouldn't run normal.
It'll be a lot faster to pull the valve covers, and readjust the valves, and then see if it will run normal without back firing, dieseling, etc.