@Amar-Azure-Practice You can only use connection string with "when a blob is added or modified" trigger. If you don't want to use the connection string and only want to use the SAS token then the alternative will be using the When a resource event occurs event grid trigger in logic app.
Workflow:
Storage (sends events to configured endpoint i.e. logic app) --> Event grid trigger (logic app trigger) --> HTTP call using SAS token to get the blob (logic app action)