I agree with Andy, I have printed thousands of prints on good quality printers, always buy the correct ink and the paper to match from Image Science in Melbourne.
I have used many different papers and as Andy said a Matt would kill your image, especially the black parts of your print.
One of the best papers around and used by many professionals alike is Ilford Galerie Smooth Pearl, an absolutely beautiful 310GSM (grams per square meter) paper.
You would not be disappointed in the quality finish, if that is not quite what you want, as Andy said again go for Gloss, IMHO.
You could even send your file to Image Science and they too would print it for you, check out the web site and see what they offer.
https://imagescience.com.au
Leon
