If you do decide to get your RM003 DLC coated, you'll need to find a watchmaker who can dissassemble the watch so you only have the case. And then find a competent place that does good DLC work (be careful with this because you can get inconsistent DLC coating on the case if the DLC'er doesn't hang the case pieces properly when DLC'ing and so parts of the case will look dark and some not as dark). And finally, then get a watchmaker to reassemble everything.
Not an easy job if you ask me!
Cheers,
Anthony