Socket/mount for broom handles with a size of 85 × 56 mm and a handle diameter of 28 mm.

You can use FreeCAD to customize measurements. If you ask nicely, I might add your size for download.

Keep in mind that the handle will change its diameter depending on its humidity and/or temperature. You might want to keep it warm and dry for a while before measuring or installing it.

+++ UPDATE +++ After standing in the sun for an extended period of time, my broom handle shrunk down considerably. Thus, I added a slightly narrower variant to compensate for the shrinkage.

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Printing

With the default 0.4 mm nozzle:

• Filament material: PETG
• Resolution: 0.25 mm
• Infill: 60 % Grid
• Perimeters: 4
• Supports: No

I also printed one with a 0.6 mm nozzle and a layer height of 0.32 mm.