I'm pretty sensitive to environmental peanut exposure and I'm positive I would be having a terrible time living where you do. My eyes and lips swell, I wheeze, my face flushes, I get hives on exposed skin, itchy throat, etc. just from being in the same room with a kid eating a PB&J sandwich. It seems the birds eating peanuts and cracking the shells creating lots of peanut dust that then gets blown around in the wind would be a much more intense exposure.
When I react from environmental exposure, I remove myself from the area and see if symptoms subside before considering epi. They always have. For you, it's more difficult because you can't really escape it. I would suggest showering to remove residue, but I'd be afraid the steam and heat could make your symptoms worse. Any chance you can get away from your parents' place for a few days and see how your reactions go?