@Steven *****
the solution offered out by Robert IS the work around. Go to the immigration office, pay the overstay and then immediately apply for a 60 day "visit family" extension.
Your only other option is to border bounce, paying the overstay fine at the border when you stamp out, BUT you'd most likely need a visa to get into a neighboring country and get to from the border so that can add up to more than the 1900baht for the extension.