This photo shows the problem. The Z axis is at about 120 mm in the photo.
So I built a 15mm thick Z-Extension (shown in the orientation as printed):
Here's what it looks like when mounted:
And this shows lots of clearance now with the Z at 125mm (The original screws for mounting the handle were M5x10 so I used M5x25 to mount with the extension).
I posted my FreeCAD source file and the STL on thingiverse.