Right now our SMS notifications are sent from a generic number. You could leverage a tool like Zapier to trigger an SMS from a different system to have more control over the name and number used. I will submit this as a feature request for future consideration.
Essentially you can hire someone who will set this up for you - I imagine even for a fee you’ll get a better outcome than trying to do it yourself (however if you do try it yourself I believe Zapier has full support for paying users - not quite a done-for-you thing like with fiverr, but they should be able to point you in the right direction).
Going the zapier route essentially means you’re using YCBM to trigger another app to send customized SMS (and Zapier is the tool that connects YCBM to the other 3rd party SMS tool)