The idea of colors was so you could and would double up. They would not be totally trust worthy just like shop keepers now (someone can have summoned them else where). As for numbers SK has 20 color codes. That leaves 20 common stones if you have 10 of each that is 200 stones. To stop people hoarding them all you need to do is make them weigh 10 pounds while tiny. Then you can have colors that dont match directly with the color codes, like gold being the rare or unique ones, those are the ones that would get hoarded.
The idea of not having an unlimited supply is so that a balance remains with actual travel vs gate. Dont forget to get a stone all you have to do is gate to it and pick it up. If you make it a ten letter random string it greatly reduces the interesting events that can come of someone else taking control of your stone.
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