Ethanol is a less than perfect example because it does dissociate a little bit. Less so than water, but enough to be a bad insulator, alas. It's just that ohmmeters and ammeters are so sensitive that they detect minute amounts of ions - and some applications can't accept such amounts.
This is prior to any impurity. Ethanol and acetone are likely to contain water, at least traces, which will spoil the conductivity, as would salt.
For a good insulator, take an alkane. They don't dissociate, are water-repellent, and don't dissolve compound in ionic form (or are there exceptions here?) so their conductivity isn't spoiled by mere exposure to air humidity.
Indeed, paraffins are used as "transformer oil" that resists higher fields than air does and better carries away the heat created by electric losses. They're essentially petroleum distillates very much refined to remove all S, N, P compounds as well as unsaturated hydrocarbons that would react with air over time.
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"Covalent bond" is never strict. Water has covalent bonds, but it does ionize a small little bit. 10-7 would be damn little if we hadn't electric tools to observe it. One has to remove ions very much (ion exchange resins) to observe the conductivity of "pure" water.
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Covalent solid dissolved in acetone : many can, for instance polystyrene.