The small end is 0.200" outside diameter now, with a 0.140" inside diameter for the #6 screw. That only leaves 1/32" per side.
If we were to use a #4 screw, which is 0.112" in diameter, then the outside diameter of the small bushing end could probably be reduced to about 0.150". It would be close, but that might allow the use of a smaller spring that I found with a 0.240" outside diameter, which woud fit in a 1/4" hole.