Hi, I have an Epson Stylus Pro 3880. i just bought 2 sets of ink cartridges and my printer then started started dropping black ink over my prints. Having tried cleaning and a number of options I finally purchased a new ink damper unit from Ali Express. I have swapped out the unit and it seems great. You need to spend some time on Youtube to find videos on disassembling the head and printer but the replacement seems to have worked. The unit cost $108 over here -
100% Original & New Ink Damper for Epson Stylus Pro 3800 3850 3880 3890 Printer-in Printer Parts from Computer & Office on Aliexpress.com | Alibaba Group
If you're adventurous they sell just the black ink damper for $22 - it might have solved the problem.
Hope this helps
Artist: Photographer: Mark Chertkow; Exposure Date: 2009:05:16 12:44:23; Copyright: Copyright: M Chertkow; Make: Canon; Model: Canon EOS 50D; ExposureTime: 1/25 s; FNumber: f/11; ISOSpeedRatings: 400; ExposureProgram: Aperture priority; ExposureBiasValue: 0; MeteringMode: Pattern; Flash: Flash did not fire, compulsory flash mode; FocalLength: 68 mm; Software: Adobe Photoshop CS4 Windows;