Hi @Dball, welcome to the Sonos Community!

My knowledge on this is limited - I don’t have the Blink doorbell, and it’s not something we get training on.

I found this thread on the Amazon forum, which certainly suggests that you should be able to do what you seek:
https://www.amazonforum.com/s/question/0D56Q00008TfUZFSA3/anyone-have-luck-connecting-the-blink-doorbell-to-a-sonos-one

Since this is a feature through Alexa, you’ll most likely have to set up a routine in the Alexa app that includes your Sonos products. 

It may be worth reaching out to Amazon with help on getting this to work if there aren’t other Sonos users have this setup working.

I hope this information helps.