I would use Googlesites because a webpage is easy to access and Google has provided essentially ‘Microsoft word’ replacements- word documents, powerpoint, excel, etc.  You could open your own webpage and provide links to powerpoint presentations and other documents for students to view use goolesites.

The advantage to using this tool is that if everyone had a gmail account it would be very easy to access documents and presentations, collaborate using the wiki or google docs, and use youtube or other links for video supplements. 

A disadvantage is that an LMS sometimes will provide technology support so you, as the teacher, do not have to take the sole responsibility for this.  Also, you would have to be creative with your discussion feed.  I am not sure how you would do this on google- other than create a blog with feedback.  Lastly, I am not sure of how much capacity a google site can hold compared to an LMS program.  There may be a benefit to having an LMS for a lot of content.