Unless you have very good eyesight WoodlandsDevon, you are unlikely to see Northern Fowl Mite, because they are really tiny. I have used a magnifying glass to see them. They live in colonies under the skin of the chickens, usually around the vent and hackles. What I think you may have seen is an adult red mite, which is dark grey even after feeding -I was squashing them this morning. Not sure Ivermectin will kill red mite and I have never heard of it used for that. It may keep them off the chickens for a while but they will still be in the coop, waiting until it is safe to feed. There is an egg withdrawal period of 14'ish days usually advised on Ivermectin I have heard -but we don't use it at all so haven't actually had a vet recommendation.
If it is NFM I would treat it with Frontline spray at the rate of 1.5mL per Kg bodyweight absolute maximum. I have had 100% success with it in a single application with no need to wash scabs off or anything. Vet supplied only though. I have heard reports of unsuccessful treatment using Ivermectin on NFM.
Of course it may be a lone louse or some other totally harmless creature and until the exact pest is identified, if any pest at all, I would do nothing.