You change the working directory by modifying the method -setupWorkingDirectory: in the file SDLMain.m. You'll want to change the code in SDLMain.m in SDL's Xcode templates so your changes take effect for any new SDL projects you create. Just to be safe, you should comment out the original code or save a copy of it so you can go back to the original if things go wrong. Enter the following code in the -setupWorkingDirectory: method:
NSString *resourcePath = [[NSBundle mainBundle] resourcePath];
[[NSFileManager defaultManager]
changeCurrentDirectoryPath:resourcePath];
Thanks to Keith Bauer, aka OneSadCookie, for the source code to change the working directory.