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Here's my method.
If I want the stamp off I go with Acetone,use rubber gloves and have an extra rag or paper towel handy.As soon as most of the stamp comes off pick it up with your cloth,then take a clean cloth and do it again,the stamp material will try to re settle in ugly blotches.Don't rub too hard,be patient,even paper towel can scuff the surface of the disc.If you want to keep all or part of the stamp this dye mixture goes right through the stamp!
For a dye method I have stopped using acetone,you have to work too quick,and the mixture only stays the right thickness for a few seconds. I use Powered Rit and Dawn ultra dish soap,Add a few drops of water to get the thickness you want.If you mix several colors and save them,label each as the concentrated color is hard to tell.
This mixture is quite forgiving,mistakes can be wiped off quickly,leaving almost no trace. But it takes 4-5 hours for the color to set dark.During this time heat is a big help,I put them in a closed car exposed to the sun,up to 160 degrees won't warp the plastic.
For resist contact paper or sign vinyl will work.Also school glue or carpenters glue works well also,even candle wax applied melted will resist dye.
I apply with brushes,dibbles(sharpened wood skewers) Ink pen nibs(from the art store),hand made 1 bristle brushes,anything.Crinkled plastic or foil will apply dye in paterns as well,and all brush strokes will be visible.Also plastic bottles with metal pipet tips from the art store are great for making fine lines. Also you can just splatter the stuff and blow it around using a can of air from the office supply.
I find it better to buy the color of dye you want(Better colors available from rit dye on the internet,fast cheap shipping) than to mix your own colors. Dye works by blocking some of the colors of light coming from the disc surface,and if you mix colors subtractive mixing makes the tones dark and muddy.Fuschia dye is a chemical that only reflects Fuschia colored light and blocks everything else. Red and Blue don't make purple!!Purple makes purple!