The Canon Pixma 10 is an excellent printer for photographic quality prints, but it uses DYE inks to achieve that quality photograph like prints. And DYE ink won't work for hydrographic printing because there aren't any ink particulates to transfer to the basecoat.
The Epson workforce printer you have uses pigment ink and will work for your project. They have a tendency to have the black ink clog up more than any other color. It's just a matter of running the cleaning cycle on the black only many times to get the lines out of your print.
Also, you need to print your image in mirror, so the image is right side up on your dipped object.
Remember to post pictures of your dips with the prints you make, good or bad... Let us know how your experiment turns out!
Wow, just wow... That is thinking outside the box... err cartridge. Why? Is re-inventing the wheel a personal hobby? Do you have the monetary resources to experiment with what particulates will reliably pass through X printhead? Have you already figured out what type of carrier will keep the pigment particulates in suspension and not settle to the bottom of the printhead and totally clog it up?
Since you are into experimenting, how about using "powder coating" powder to run through print heads. I'll bet there would be a market for that! Liquid Powder Concepts sells a carrier for powder to spray powder coating via a liquid carrier. Maybe you could start there.