I wanted a Laika the space dog pin, so I made one!
If you heat a thumb tack with a lighter and press it into the back with pliers, then file a notch onto the tack stem, you can use an enamel pin backing clip.
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Example
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I printed this model at 0.05 ULTRA DETAIL. With ironing on all top surfaces, and mid-print color swaps, I have included the .step file if you want to modify it or make it thicker, and the .3mf with ironing and the color swaps ready.
The author marked this model as their own original creation.