The best replacement for dyes is pigments.

The best alternatives to dyes are rated as following:
★★★★★  pigments
★★★  stains
★★★  acidic dyes
★★★  synthetic dyes
★★  dies
★  paints
★  perfumes
★  natural dyes
★  lakes
★  artificial dyes
  anionic dyes
  hot water dyes
  chemical dyes

Your alternative for dyes is not listed? Suggest!
Speaking about dyes, one probably shouldn't forget about highlights.

Other search terms related to dyes and their ratings are:
★★★★★ highlights
★ food coloring
You have in mind a companion for dyes and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of dyes in all years. Click on graph for more.
dyes
pigments
stains