Have you gone through the entire head cleaning, capping station, and its wiper too?
Mine had an issue where the old ink in the capping station on the two pads had gummed up a bit and it wasn't draining into the maintenance tank via the pump. When I squirted some head cleaning fluid onto the two pads, one drained and turned white, but the other just pooled up like a swimming pool of ink and wasn't draining through the pad at all. Ink was likely piling up on it and then sticking to the underside of the print head later when it parked on top of it.
Took a lot of head cleaner before it began draining again and was pure white again.
While fussing with the above, I also parked the head on a 1" wide rolled up Bounty paper towel soaked with cleaner while I fiddled with the capping station and its draining issue just to clean it off. Also, I wiped off the rubber gasket around it and the rubber wiper too. Used a small piece of 1/8" (size?) brass tubing from the hobby shop and cut a Q-tip in half and shoved it in the end so the tubing was a long holder to get in there.
I've also soaked a heavy rag paper at one end with alcohol and ran it through the transport a few times to clean off the rollers. Epson used to sell cleaning sheets but I haven't seen any for a while.
The 3880 that was making the marks, I also noticed that the capping station rubber gasket has hardened over time compared to another newer one. Might be these rubber things dry out and the seal isn't good and why the ink in the pads dries up leading to clogged pads, and then head clogs become present if it dries out there too. Just my theory though.
I'll mention I did tear into mine completely some months ago when it broke the carriage to print head mechanism due to a head strike on some edge curled paper. The corner of the frame around the head had a blob of ink (like syrup) and appeared to be a hair or fiber stuck there in the frame that I needed tweezers to pull free. Could be hair, paper fiber, or maybe some stray fiber off the capping station too. Couldn't have gotten to it without pulling the head off and flipping it over to see it.
Good luck with whatever you try.
SG