Hello Laura,
unfortunately you do not know the place in Bavaria. This, of course, increases the price for a professional genealogist.
Why don't you try first the mailing lists in Germany, for example to find here:
http://www.ahnenforschung-bayern.de/forum/https://list.genealogy.net/mm/listinfo/It is worth a try to see whether there is someone who has an idea or maybe family members. Many Germans speak English so that you also can place your question in English.
There are also some databases collected by other people where you could start:
http://meta.genealogy.net/Immigrants also often needed a permission tho leave the country. Sometimes it helps to run the names f.e. through google.books, because a lot of official publications from those days are completely online available, like the Amtsblätter for all the states.
The Library of Congress has that nice project
https://chroniclingamerica.loc.gov/Many newspapers (in German language) contain news from the old world. Maybe your family even announced somewhere there the immigration.
There are several other archives where you could run the names first before.
I hope it helps a little.
Sabine