I dyed a pair of long nylon gloves to match a prom dress , um, a few years ago. I used the powdered Rit dye that you heated up. They took the dye well, but then, I never wore them in broad daylight, so I don't know how permanent it would be under outdoor conditions. It might weaken the fabric, as tea dying does to cotton, although the gloves still live on in our 'dress-up' box. You might try following up the dye job with the wash-in sunscreen product, although the package instructions I have do not mention nylon, just "cottons, linen, rayon, silk", and "safe for all washable fabrics". Sounds like an entertaining project, anyway. I'd love to hear how it turns out!