Hi Jennifer,
Welcome to the E-Learning Heroes community!
You should be able to host Articulate content in SharePoint Server. However, it won't work with SharePoint Online (the Microsoft Office 365 Hosted Edition) since it doesn't support HTML files.
If you're using SharePoint Server, check with your SharePoint administrator for instructions on how to upload HTML content. Depending on your version of SharePoint, you may need to switch to "explorer view" before uploading content, which it sounds like you have done. You may also need to "check in" content after uploading it, but your administrator will know for sure.
Here are some resources on how to publish and share content. If you need to track the learner's progress, the course will have to be published to an LMS, but if not, you can publish your course to the web.
You may also find these threads on how to publish .story files to Sharepoint helpful:
Please let me know if you have additional questions!
