While some guys swear by it, I do not like getting anything on my hands during or just before I start shaving, be it oil, lather or even water. From your description, it is probably the soap that is irritating your skin. I get burning too, but no redness, from strong fragrance oils and can only do two passes comfortably with them. I am ok with essential oils. If you are overly sensitive, you may want to try hypoallergenic soaps like AOS unscented or T&H ultimate comfort. Some soaps are also lightly scented and gentle, IME: DR Harris, MWF, Provence Sante, and IK.