Well, since you can't go to the doctor, and you have no other signs of a yeast infection, may I make the following suggestions:
Stop using whatever soap you are using to clean yourself. The soap may being drying you out, and extreme dryness will cause itching.
If you douche, do not use a douche with a fragrance. You could have a sensitivity to it.
If you douche, do not use a vinegar douche either. Vinegar aggravates dryness.
If that means to stop douching, then yeah, stop douching.
Scrutinize your laundry detergent. Stop using whatever brand you are using and get a fragrance-free, bleach-free, hypoallergenic detergent. Arm&Hammer makes one.
If none of that helps, and you are still experiencing the excessive dryness (which yes, the pill....or ANY hormonal birth control for that matter....can cause), purchase some water soluble lubricant (KY is the best) and apply a little bit every time you feel the dryness itch, whether or not you're going to have sex. You may want to wear a pantyliner so protect your panties from getting too wet, but applying the lubricant will help ease the itching caused by the dryness. (Or you can just do this first to save yourself from the irritation of the itching while you try to figure out if it's allergy related)