Do not use the ICC twice. You have it selected in LR under CM as the ICC profile and the image is being converted from whatever input space you are using (Adobe RGB is recommended) and is then sent to the Epson driver pre-converted.
At the Epson driver you may be selecting it a second time and the conversion takes place a second time - this may be the strange brownish color source. The CCK3 ICC should not be present at all. Not certain how you have it on and off at the same time. Why not instead select the ICC at the printer - and turn color management in LR to Printer Manages Color. Make sure that the media setting you select in the Epson driver matches our instruction in the ICC profiles download guide. It is not intuitive - but it works and is necessary as media settings are CLUTs (color lookup tables).
Try just using the Epson driver for the ICC and turning of LR and let me know!