I've washed my hands with Dawn and I can feel how clean they are.
You can also add a little vegetable glycerin to any alcohol-based sanitizers you use. Use the ratios from the WHO sanitizing hand rub guide: https://www.who.int/gpsc/5may/Guide_to_Local_Production.pdf
Adding a humectant helps a lot when it comes to preventing dry/cracked skin.
I've washed my hands with Dawn and I can feel how clean they are.