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Sorry, I meant to reply a while ago, but never did. What you say about the Ritual's is very informative, thank you.
Don't focus too much on the specific allergen. The body develops an allergic response based on certain deficiencies, and once corrected will result in a healthy response. I think this is what you say with the latex and lemongrass, for example.
What you describe with the nose, lungs, and skin all pertains to the element of Metal (lungs/large intestine), suggesting some sort of weakness there. These organs manifest through the nose and skin, hence the problems there. You can read more about TCM and allergies hereExternal ↗.
Looking at the TCM face map, there are colon and intestine places around mouth. Any sort of pimples, redness, discoloration, etc in these areas would indicate a problem with those parts of the body.

Headaches are a little different than just a runny nose/weakened lungs and can be related to many different organ deficiencies. If they feel like sinus headaches, then they are related to wind pathogens entering the body. This might seem similar to allergies because it occurs at the same time you are outside and exposed to pollen or whatever. It is a little different though.
I don't think you have physical, "non-Saturn" dampness, because this would show more in the digestive system with loose stools, gurgling, lethargy, and sometimes bloating. I think the congestion is more related to the element of metal and its response to allergies or other stressors, like exercise. As the article mentions, you want to look at where exactly the response is happening.
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As far as solutions go, I would recommend metal element qigong. Mimi duo keemer has some good videos on that. I would link it, but I have youtube blocked at the moment. This would be preferable than running, if you had to pick one or the other. Other forms of yoga can substitute for the yang effects of running.
Additionally, I would recommend to you some sort of air purifier for your home. Indoor air is very stagnant and full of pollutants and other irritants that have nowhere to go. Removing these would give your metal element a chance to rest while it regains its strength. You can find whole home purifiers, small room (bedroom) purifiers, etc.
Like I mentioned before, white foods help this element, such as onion, garlic, ginger, watercress, green onion. Not a lot, just adding them to your food more often. Your diet could be good in a lot of respects, but you might just need to do more to bolster the metal element.
As far as dealing with headaches, try the GB-20 acupoint, seen below. It is specifically very good at clearing wind pathogens from the head. It is also good for dealing with all headaches in general, because it intersects with a lot of other meridian channels. It is sort of a catch all point for any headache.
