Screen printing would be your best bet, putting the "distress" in your design. Plastisol (screen printed transfer) printers could do it for you, some even offer the distressed/vintage look from your non-distressed image.
You might also check these links for ways to do it with vinyl.
https://www.silhouetteschoolblog.co...studio-tutorial-distressed-fonts-designs.html
https://adamyukish.com/2010/04/16/creating-a-distressed-look-with-a-vinyl-cutter/
You might also check these links for ways to do it with vinyl.
https://www.silhouetteschoolblog.co...studio-tutorial-distressed-fonts-designs.html
https://adamyukish.com/2010/04/16/creating-a-distressed-look-with-a-vinyl-cutter/