Max thickness on a 9880 is 1.5mm or 59 mils (.059"). Have you considered printing to an adhesive-backed material and mounting it to the Dibond? There are third party vinyls that will do the job and one adhesive-backed paper from Epson that will perform well if they are suitable for your application.
Onsight,
Printable Dibond isn't limited to UV Curable ink. Eco-SOL inks from a Roland, Mutoh, Mimaki, etc. should work fine but be careful with the the 2mm. That may be too thick for those machines. Also, be certain that the Dibond is white as inkjet inks are transparent, with the exception of black.