Ordinary Paper profile

Hello, first of all i’d like to present myself as a french guy with a poor english level…
I just switch one of my SP4880 printers to Kone K3 Vivid inks.
Everything is quite perfect except the color range. Actually I do print on a special paper : not special for inkjet printers but with a special aspect like old books.
I have 1000 of images that i sold to resellers and they are all perfect (for me).
The problem is that when I print with the Konecolors the lightness is not the same and the colors goes mostly to red and more vivid than with OEM.
I’d like to use an ICC profile but nothing has been made for ordinary paper…
Do you have a solution for me…
Thx. Thomas Poster editor in France.