The Clickonce process is to pack your application in a way that deploys from a location on the Internet or on-premises. If the last click when the package is stored is not supported by the ClickOnce process. I don’t know if there is a plan in the future, but I don’t think I need to click once to make Azure blob dependent. You can do this by setting up the build process to pack clickonce content and upload it to Azure Blob by providing the correct credentials.
How you can use MSBUILD to create a Clickonce package , you can configure this process even more to upload this clickonce file to Azure Blob by writing a very small command line application and automation after MSBUILD has finished creating the clickonce package. In this forum discussion , the user has a code snippet to create a cmd application to download the package. You will surely find something similar to suit your requirements.