I recently purchased a new unscented soap from Bartigan and Stark called NIL. This is an tallow based unscented soap and it has a luxurious smooth and dense lather. It is rapidly becoming my favourite go-to unscented soap. Reasonably priced. I would post a picture, but their pictures on the website are better than I could ever hope to do. I am interested to hear from others who may have tried this soap. Their matching ASB is also quite nice. They are a Calgary, Alberta based company. Here is their website:
NIL UNSCENTED SHAVING SOAP - https://bartiganandstark.com/collections/accessories/products/nil-unscented-shaving-soap
...and no, I don't have any affiliation with this company.
NIL UNSCENTED SHAVING SOAP - https://bartiganandstark.com/collections/accessories/products/nil-unscented-shaving-soap
...and no, I don't have any affiliation with this company.