Is FrontPage not discontinued? I'm assuming you can extract the html from it?
Once you have your page designed and uploaded, any script and style files linked (make sure they are all checked in) you can add a Content Editor Web Part to your homepage.
In the webpart settings the top option is "Content Link", add the link to your html file to the webpart and save. That should solve the issue.
Alternatively, you could code it within the page using the Script Editor Web Part (although I'd recommend the first method)