ANZSCO is divided into 8 Major Groups. Only occupations from Major Groups 1-4 are on the ENSOL.
The usual drill with someone like you would be to call you something else for visa purposes. Something out of Groups 1-4 inclusive.
To be honest, I think that it would be a very long shot with you. The sort of pulp mill that is likely to have 30 or 40 operators on shift at any one time is not likely to be located in the Backofbeyondup because it would be difficult to recruit enough staff there. Wherever there is a fairly high population density, it is likely that there wouldn't be too much of a problem with finding Aussies to fill all the jobs.
I would suggest asking Jamie Smith whether it would be likely that he could find you a job and either an RSMS visa (preferably) or a 457 visa at least. Jamie would be able to scrounge some free advice about what sort of occupation you ought to nominate and I would trust him to decline to accept instructions and fees from you if he does not honestly believe that he would be likely to succeed.
If Oz is reckoned to be a no go zone for you nowadays (they have become extremely stringent about their immigration policy in the last 18 months or so) would you be willing to consider NZ instead? If yes, Jamie is a Kiwi so it would be worth asking him if he's got a brother in NZ.