I would start with printing colorbars with the colors of the printheads with problems...
Use cheap paper, gloss (PK -GE) or matte (MK) ... what is needed.
Do that every day for some days and try one cleaning in between...
Keep the printer on.
Here are the colors you need for a z3100- so the red is a bit off...
Yes, I have been printing, sadly, I had some plain 36" roll, but now on the glossy instant dry, and ate up about 15ft of it doing the printing of color calibration charts. Thanks for this specific color chart to get the inks flowing. I will keep printing.