After you 'fit text to a path' the Property Bar will display a series of related options. (These options will also come up anytime you click on text that is attached to a path.) The last option available, just past "Horizontal Offset", is a little icon with a mirror image of two 'A's diplayed. This is the "Place on Other Side" button, if you press that it will flip your text right side up.
You may want to experiment with this in combination with the "Vertical Placement" options also on the Property Bar when text on a path is selected. This will allow you to change what part of the the text (the top, the bottom, the center, etc.) is connected to the path.
Hope this helps. Good Luck.
Cullen Cox
cullenc3@aol.com
Graphic Artist/Web Designer.