You can create your own zaps, if you sign up for a free account you will see the options available. If you look on github at the MW API examples you should be able to work out how to inject subscribers from your blog into MW. There are examples on zapier on how to do such a task.
Using zapier doesn't require coding. It doesn't put the data on zapier it simply pushes the data to the destination you setup in it. In this case you would have a trigger that then initiates an action. So when someone signs up for your blog it pushes that persons data to your MW list.