Hello,
I've worked with screen printing design for more than 5 years and many projects. I can provide you with a design to reproduce the same result.
*There are two ways of doing this:
1. If someone picks your image, extract the black color out of the orange background and rescale it, it will provide with a moiré glitch when printed. Poor result.
2. The second, professional way, is to redesign on top of the original, calculate the gradients that produced the halftone and remake it (those tiny dots).
I will provide you with a professional output that you can easily print in a local printer.
Thank you!