Hello, from a fellow Michele. You would have to speak to your ink vendors to see if they carry "disappearing ink" you can use with your screens. It's usually a water soluable ink that washes out with soap and water.
To get the image duplicated, might be tricky. I would scan the image you want to duplicate and see if you can get enough contrast with either drawing or photo software. A graphic designer may be able to help you achieve the results you need to make a screen if you're not familiar with scanning and/or the software.