Man, this sure is an old thread to open back up, but I am having the same issues on the Epson RX595 with greenish shadows. I have read a lot about this on the 'Net being a problem with these printers, however I assumed that it was just people not setting up profiles right. Silly me.
I have the Epson profile for the RX 595 and for the Premium Glossy Photo paper that I got from their web site. It is for my printer, and my paper. You'd think that would work, but I have tried that profile, I have tried the standard profile, I have tried regular sRGB and I have tried all of those with numerous combinations of No Color Correct, Epson Vivid, Epson Gammas, and on and on. I have tried everything. With the correct profile and paper, and no additional color correction from the printer it comes out pretty good. I mean really good, and I am picky. However, it still has slight greenish colors to the shadows, especially those with browns in them (like hair).
Long story short, I have given up unless one of you has found a solution.. 
