Unless you are trying to save the paint job...you need to think outside the box. If you're trying to save the paint, you have a long road ahead of you because what I suggest won't save it.
Since you don't know exactly what you are trying to remove, it is just a system of steps based on sophisticated wild ass guessing. If it's sheeting, then it is probably an elastomer as opposed to an epoxy or polymer film. Cured epoxy and polymer films don't usually sheet, they come apart in small chips or flints and aren't' flexible after cure..
First, rinse the tank with plenty of water to remove all presence of acetone fumes..since it's water soluble. If you can smell it, you haven't removed it.
Find an oven ..... set temp at 350F. Bake for five hours. You need to bake out the volatile part of the membrane. This should render it fairly 'unglued'. The volatile components are what give it 'tooth' and elasticity at the molecular level. A butyl based skin may even become a black powder. (Butyl is inherently black) If not, then try a 'slow' reducer (not thinner) from an auto body supply. this will contain a number of blended hydrocarbons....including everyone's favorite MEK.....about $40 per gallon. If that doesn't work....put it back in the oven after neutralizing with water again...and put the oven on self clean. You'll pull out a tank with dust in it and a very easy to remove paint job.
For those of you without a degree in chemical engineering....hydrocarbon based solvents don't screw you up overnight, unless you are intentionally using them for euphoric effect ....they start a deterioration that continues while you feel fine, for years.....limited exposure can do damage...just not right away. Damage is accumulative and based on all exposures, not just per compound. One exposure to MEK and 150 to acetone is 151 exposures. Like I said before, if you can smell any hydrocarbon based solvent (gasoline included!), you're absorbing it.....just take reasonable precautions.....breathing is not optional, but necessary for continued life.