Ok, you will probably find some cartoons for children or Asterix & Obelix in "some sort of Swiss German" as well. I say "some sort of" as the dialects vary heavily from area to area, just as they do in Germany. But are you saying that it is a written language just because a handfull of books can be found? You will find some books written in Bavarian dialects as well, but nobody would seriously suggest a person who is potentially moving to Munich to go to a Bavarian Mundart course instead of learning standard German.

The OP might want to be able to read a menu at a restaurant, information in a train station or the leaflet with the special offers of the week at the local supermarket. So what would you recommend? Find a Swiss in the US who teaches him to pronounce chuechechaestli in Zurich-German or visit a standard German course, ideally following the Goethe Institut system, so he can easily continue at Migros Clubschule (or any other) once he is here?