hard to guess so thinking best to stick to the basic air flow that should be happening, from intake to exhaust. vacuum tube got blockage or pinched off, banana in the tail pipe or what? i hate guessing. but if the exhaust smell isn't making OUT the tailpipe, where is it getting hung up or where is the air blockage that's making the smell so strong?
the last time I heard pops from the engine bay was after I ran the truck out of gas, and so all the sludge that was at the bottom of the tank got pulled into the line right before the fuel filter, gummed up the filter, hesitations and no power and stuttering and ... POP. 3x it popped limping on the way home. changed the filter, and filled up the tank & been keeping it over 1/4 full since then, lol.
when you pumped out all that fuel you didn't happen to empty the tank did you? just a thought. if your filter is semi-see through, i'd shine a flashlight behind it & look in & double check it for gunk if your tank got down to E in the process of checking the fuel pump.
tldr; either way: pop can = air /fuel mixture way off.
hope my random thoughts from limited experience helps in some way. I totally feel your frustration & surely you'll figure it out anyway

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