Okay, so first, the whole "atypical herpes" thing is greatly exaggerated online. Far and away, people either get blisters (sometimes paper cut sores), or no symptoms at all.
You don't mention how long this has been happening, so that makes it harder for me to help. For example, a herpes outbreak, even a primary, wouldn't last longer than 2-3 weeks at its worst. It would also be gradually getting better.
Was there anything that preceded your symptoms? Had you had sex recently? Protected or unprotected? Received oral sex? Did you get tested for STDs like gonorrhea and chlamydia, if you had a risk?
I'm glad you got tested for BV, yeast and trich. I'd have guessed BV first.
Have you changed laundry detergent, body wash/soap, bought new underwear, toilet paper, etc. - anything that touches your vagina/labia/vulva - is anything new? Did your laundry detergent change formulas - does it say "new and improved" on it?
Do you use a scented feminine wash, or a feminine wash at all? Do you douche? Douching is really bad for you, unless your doctor directs you to do it after a medical procedure. We never need scented anything, nor do our genitals ever need to smell like flowers or rainforests. Those can also cause reactions, and upset the very delicate pH balance.
Have you started eating or drinking anything new? Any new juices/sports drinks/sodas/carbonated drinks, especially? Maybe there is something in those that is causing your urine to have a lot of acid, and when it hits your skin, it's hurting it. Is it burning inside when you urinate, or just when it hits the skin? Did they test you for a UTI?
Usually, the burning with urination with herpes is from the sores itself. The acid in your urine hitting the sores causes pain. Without sores present, it doesn't hurt.
Your annual winter rash doesn't sound like herpes. Maybe you start wearing tights or heavy leggings or something with wool or whatnot that your thighs do not like lol. Has a doctor ever seen it?
Herpes doesn't cause hives itself, though some people can get hives from having a viral infection or other illness.
It sounds like you have super sensitive skin. I understand that one personally. I have to use dye- and scent-free laundry detergent, my soaps and cleansers (body and face) are all "gentle" or "for sensitive skin", etc. I can't use toilet paper that has any print or scent to it.
There is a condition called vulvodynia - literally, pain of the vulva. I don't know if that's what you have, or if you meet the criteria for the diagnosis. You can google it and see if it fits. Without knowing how long it's been, exposures, etc., I can't say much about this except let you know it exists.