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Sounds like water?, if it was rings it would be oil and that's blue.
White smoke from the tail pipe usually is water mixing with the exhaust gas, head gasket issue or cracked head. Smoke coming from the air cleaner is usually blue, blow by caused by worn rings. May be time for a rebuild. My $.02... High idle or to far advanced timing would cause the engine to not want to shut off or dieseling. What is your oil consumption? I had a 350 in my 82 C10 that ran great, smoked some but not drastic, puffed out of the air cleaner because of worn rings. It passed the emission test just fine but burned a quart of oil every 750 miles...
Antifreeze leak at the head gasket. Worse at idle because the intake vacuum is higher. When you replaced the head gasket, you did something wrong....
Head bolts not sealed maybe???...Just noticed it was an IL6, hope he didn't torque that front bolt too tight, that is a weak spot very little material there and it's easy to crack the block.
with the smoke coming out the intake when the engine is shut off, i would be thinking blow by and coming out the tail also blow by. since oil is the only fluid your loosing this also points to blow by. three strikes your out
I think most of us misinterpreted your first post. If you think rings, run a wet/dry compression test. You can also pull the PCV valve out of the valve cover with the engine running to see if you're puffing smoke out of the valve cover. Crankcase pressure usually results from compression blowing past the rings, which translates to oil moving in the opposite direction past the rings into the cylinders.