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I went through the whole process of manually creating the attached tokens for tiny Cave Rats via The GIMP and was part way through writing a suggestion to allow re-size smaller than when it finally occurred to me that I could probably use ALT while re-sizing to avoid Snap To Grid much as you can when moving background images.
I figure I should post anyway in the hopes that someone searching for a solution can save some time, as I can't find any reference to this "free-size" control regarding tokens.