Save to 32-bit floating-point TIFF files using the new “Unclipped” processing profile. See Save unclipped images
… and now I just read your last sentence :]
If your other program doesn’t support 32-bit floating-point TIFFs, then apply the “Neutral” profile, perhaps apply raw CA correction, and no tone curve to keep things flat and dull. Adjust exposure compensation to keep data away from the edges of the histogram. Save to 16-bit integer TIFFs. And if your other program doesn’t support 16-bit integer TIFFs, then delete it.