OK, here's the rest of the story.
Decided there was just no way I could get the tank off, so I put it all back together.
I then removed the fuel line at the fuel filter/shutoff cock, with the tank cap off, and dropped it into my strain funnel. Almost immediately a couple glops of crud came out. I continued until the tank was empty. By then a little more crud had accumulated. Altogether about a thimble full of rubbery, oily goop.
I then got an old small shop vac, taped up a nozzle on one end and sucked out all I could get from the tank. Worked pretty well. Next I attached some gun cleaning rags to a shotgun cleaning rod, and swabbed the thing out.
Then I ran another gallon or so of clean fuel thru the tank. No more crud appeared in the strain funnel. I took a pipe cleaner and swabbed out the inlet to the shutoff cock, then reattached the fuel line.
Then I added more clean fuel, straining it again as it went it. Waited a few minutes and opened the "air vent cock" the L-series tractors have on the injection pump, according to manual instructions. Started it up, ran it for 30 seconds and shut off the motor, then shut the "air vent cock".
Hopefully I am OK now. One of those confidence building operations, I hope. Though the fuel filter itself looked very clean, I will replace it, too now that I feel I can avoid the "long version" of air bleeding.