You can probably get a reasonable result by using an Epson Matt paper for which there should be a setting in the driver.

Now, I don't personally have a 2400 (I have the 3800, the next model up) so I don't know what gets listed in the driver but under Media Type, I see a range of paper that use the Photo Black ink and a range of paper that uses the Matte Black ink. All these media types should be installed when you installed the 2400 printer driver. So the first task is to check that your driver gives you options for Epson Matte papers. You won't find independent papers in that list - you have to refer to the box or instruction sheet to see which setting they recommend.

If you are printing on matt rather than gloss paper, you will be using the Matte Black ink rather than Photo Black. You may have to physically swap the cartridges if it is not already installed.

So, the correct driver and driver settings for the paper is half the battle. If you don't see options for a range of paper types in the driver then you are going to have to sort that first before looking at anything else. If the worst comes to the worst, delete the driver, download the latest from Epson and install that.

BTW, I do much of my printing on gloss/semi-gloss because I do not like the dull dead matt finish for everything - do you get good results with gloss paper? It is easier to see what is going on with something like Epson Premium Semi-gloss paper rather than dive in with a matt paper.

You don't mention your monitor anywhere in this. If your monitor is set way too bright then you will be making your images on screen darker to compensate and naturally they will print darker and be over-inked. This is why we recommend a monitor calibration tool to ensure that what you produce on screen has a reasonble chance of printing correctly.

Finally, when you come to use the specialist art papers, download the profiles to use with them. Also check that you are using the profiles correctly as it is possible to use them in two different places with the end result that the image and print are doubly-compensated leading to a poor print.

So, the first step is to start with a basic Epson paper (suggest Premium Semi-gloss or Gloss) and make sure that you can see that paper listed in the driver. Once you get this printing right, then you can move onto matt papers. Another personal preference here - I only use matt papers for high-key or pastel-like images as this, IMHO, suits matt better. If you want bright vibrant colours then it has to be a gloss or semi-gloss.

Let us know how you get on.