I've encountered this issue as well :/ I keep the down south area shaved but that doesn't seem to lessen the funk after a long day working outside in the heat. Also another part of the body that has the same sweat glands as the underarms and cootch is the nipple area.

Never noticed that until I had my little one, a female friend of mine said that she didn't develop that sort of sweat there until she had her child as well. So, shave or un-shaved probably won't make much difference I don't think, I have sensitive skin there so using scented products is a no go. I just took my shower before and after work, but even then I still got a bit ripe