Oxalic acid sublimation vs trickling in western Anatolia — when does brood break actually occur?

I keep three hives on the Aegean coast near İzmir. It is mid-November, daytime temperatures are still reaching 17°C, and bees are carrying pollen from late-flowering composites. I want to do a clean oxalic acid winter treatment, but my mentor insists that our coastal winters never produce a true broodless window without caging the queen. Last year my natural mite drop in December was 4 mites/day, which is too high for comfort. Should I do a single oxalic acid dribble (3.2% w/v syrup) in late December hoping they drop to a tiny brood patch, or invest in a Sublimox/vaporiser and do three rounds spaced 5 days apart while there's still capped brood? I really want to avoid damaging the queen with repeated acid treatments.