For the amusement of the group, here's a screenshot of what I came up with for a pivot-handled needle valve, using the above suggestions. This is still CID 868. I used the round handle with two struts but I set the shaft 1 thickness to .00001 so it's basically invisible. Then I set the strut diameter to .4, and the shaft 2 thickness to .5. Shaft 2 is set to .25" longer than shaft 1.
Because the struts point "across" the body of the valve when there's only two of them, I had to work with connectors 3 and 4 instead of 1 and 2 to get the new "handle" to line up with the flow direction, but that was really the only catch.
It winds up looking pretty slick. Thanks all.