Non thermal plasma does nothing in damp air in my opinion. I'm unaware of anyone feeding damp, contaminated air through what amounts to an ozone generator as a means to treat it, but perhaps someone is trying this. From my experience, if you want to generate ozone, you need scrupulously dry air or it won't form in the first place. Generating hydroxyl radicals directly in damp air is possible but I would imagine the yield would be terrible, i.e. it would take a huge amount of electricity to do meaningful destruction. If there is significant hydrocarbon vapour at the discharge of this non-thermal plasma unit, you've already proven that it isn't working. Note that ozone is a very, very expensive oxidant, and you're generating large quantities of VOCs- you'd need to make a huge mass of ozone to destroy them appreciably.
The colder the air is, the higher the sorption capacity will be, but if you feed air to a saturated carbon bed, it will desorb compounds from the carbon into the air until a new equilibrium is reached, i.e. the adsorption process is reversible.
If your air is at 6 C, your bioreactor is also running pretty cold...those poor cold organisms are probably not eating much, therefore letting the vapour leave pretty rich in "food", i.e. organic molecules that are volatile and which they might otherwise eat if they were happier. This is constantly a worry with aerobic biodegradation of volatile species in water- they are likely to operate as air strippers, shifting the problem from the water to the exiting air stream.
6000 mg/m3 doesn't sound like enough to fuel a thermal oxidizer even with good heat recovery, but you could check that with a heat of combustion calc and by talking to thermal oxidizer manufacturers.