Amazon just released a plugin for WordPress which make it possible to get a blog onto Amazon Alexa devices. In addition, the plugin provides several other features that you may be very interested in. Currently, there are a number of bugs which mean it's not ready for prime-time, but I suspect it will be fully functional in the future. Some users are reporting success and others are reporting that it's not working. While there is no coding required, the setup process is not for the faint of heart... (i.e. it's a little complicated).
In addition to the WordPress plugin running on your site, it also requires setup with podcast distributors. Here are links to the process:
https://aws.amazon.com/blogs/machine-learning/read-wordpress-sites-through-amazon-alexa-devices/