You're asking for trouble using a bit that small and a material so liable to gum it up. The fact that you don't have any way to cool things down pretty much dooms you to failure, or such a slow process that it's unrealistic. Have you thought about using a better printer that can get those details without having to machine them? There are resin-based printers which can produce much better detail than the FFF process can approach. Check out the options at Shapeways, like "frosted detail plastic": Frosted (Ultra) Detail Plastic 3D Printing Material Information - Shapeways