Below is the link to the NSS Website for the new NSS Logos. The website will also provide a link on the new NSS Logo Usage Guidelines. It is recommended to review these guidelines before using the new NSS Logo.
New NSS Logos on the NSS website https://space.nss.org/nss-logos-and-banners/
There are examples of chapter logos that do not include any usage of either the heritage or current NSS logo. The Phoenix Chapter of the NSS is one of the examples provided in the new NSS Logo Usage Guidelines.
Phoenix Chapter of the National Space Society