You can dye beige resins. How to dye a resin is entirely contingent upon the type of resin used. Some resins will take powders of different types, some do well with alcohol inks, and some have thick liquid dyes that work well with them. You have to experiment with a bunch of different things and find what works with your specific resin. That's what I've done.; I've dropped hundreds into different things to try, some successfully, other's catastrophic failures (like some drafting inks I tried that were supposed to be in alcohol, but apparently weren't).
If you don't want to experiment, go with either Smooth-On or Alumilite resin and the dyes/pigments they sell for their specific resin.