My understanding (though I have never worked with an 11880 personally) is the 11880 is essentially just a bigger version of the 7880/9880 printers, and I DO have lots of experience with these models (they are my favorites!)
As you already know, we don't have carts for this model printer, but one customer has reported using Piezography inks in his 11880 with success, and was able to find decent refillable carts online (though from a Spanish website).
I would say if you can locate a set of refillable carts, that you can use ConeColor Pro ink in your 11880. Since you can make your own profiles, color management will be no issue.
I hope this helps, please keep me posted on your experience, and let me know if you have questions or there's anything further that I can help you with.
Best regards and happy printing~ Dana