We are looking to build community among traditional Catholics, as the south is very much a desert for the traditional Faith.
That it is! I was looking to see what your options are, and I can see why you want to get a mission started. The closest Sede chapel to Savannah is
Our Lady of Sorrows Chapel run by the SSPV (~3 hours away). After that, it's either Fr Oswalt's mission near Atlanta, or the CMRI mission near Greenville, SC, both of which look like they're about 4 1/2 hours away. I won't recommend the chapel in Summerville, SC because I'm not sure about the formation of the clergy residing there.
I pray that you can get a mission started (and like AMDGJMJ, I don't live in Georgia either). The CMRI or RCI are probably the best options to contact about requesting a priest.