Switching ink in Epson ET-3750 to work oh photo paper

I have an Epson ET-3750 printer with refillable ink tanks. I would like to use it to print on glossy photo paper, but every time I do so the black refuses to set, and smudges off easily. The colors set fine.

Doing some digging this seemed to be because the black that comes with the printer is a pigment rather than a dye? Or a pigment that doesnt stick, but some pigments can be made to do so?

I'm looking at flushing the tank and replacing the current ink. What criteria should I be looking for to ensure that the replacement ink will

A) Stick on gloss paper B) Not foul up my printer

Thanks!