If you know how to use the command line and the OS X Terminal, you might be able to gather some useful troubleshooting information using the built-in "tiffutil" program.
Navigate to Applications > Utilities > Terminal.app
Clicking on the app opens a terminal window.
Get more information by typing this at the prompt:
tiffutil -info /absolute/path/to/troublesome.tiff
It may be a problem with color profiles or color settings that need to be converted or adjusted.
There may be command line utilities to help adjust those but other programs like Photoshop and GIMP may help you change settings to try and make them display properly.
It is possible that these files have color profiles that are ignored or handled poorly by the program displaying them and your monitor. If so, you can try updating to a different, more easily recognized color profile or do some conversion/translation of the problematic color profile as an image conversion.