I think breeding the eatern muds should be pretty straightforward.... Cooling them for a month or so in the winter and then a gradual warm up in spring. Feed the female heavily during that time.
They will do the rest.
Make sure to provide a land area with a suitable substrate for the female to nest in. There was an issue last year of Reptiles Magazine (by Mark Packer) that had a good article on breeding tropical mud turtles. The information would be of use to you.