I am one of those allergic people, and even I can use benzoin. We medical folks use it under tape to make it stick better. We also use it to "toughen" up skin that breaks easily. I used it on my elbow that kept splitting when it got cold. I just dabbed a bit on there every day after I shower, and it healed and stayed healed in just a couple of weeks. And I have been fighting with that elbow for 5+ years on and off.
You really should look into making liquid soap. KOH is fairly cheap from the internet, and you probably have all the equipment and oils already. Best of all, you can use it as soon as it cools off enough. (better to let it sit a week to sequester)
Living in a coastal state, you can market liquid soap to houseboaters/fishing boats, etc. This is all natural, no phosphate soap that is safe to use in delicate environments.(If Dr. Bronner can do it, so can you!)