Printing small layers in ABS

I have been trying to print some robot chess pieces I made for the Tinkercad challenge, and have been having some trouble with small, column type layers. I've had the temp down to about 190C, but layers still tend to remain hot enough that they move around a little as the upper layers are deposited so details get a little jumbled. I used an aquarium pump and a hose to blow air just below the nozzle which stabilized the layers, but it also weakened the layer adhesion to the point that the part broke during the print.

Any advice on how to print small columns and achieve a balance between cooling and layer adhesion?

If the parts are really small, the best way is to print multiple pieces or print it along with other parts so that the nozzle moves away from the part to give it a chance to cool down before the next layer.