@jonthemiller came up with an amazing rack mount for raspberry pi devices, the Raspberry Pi 4 & 5 Mini Server Rack Case, but unfortunately did not have a raspberry pi 3 to test with. I've taken his model, amazing work, and adapted to work with the pi 3.
I've included one for heatset inserts, and screws, as with @jonthemiller so pick the one that best fits your needs, and print!
EDIT 4/6/24
Final tweaks to the I/O ports for better alignment.
Adjusted insert and screw post alignment and the size of the cutouts for ethernet and USB for a flusher fit to the face of the case. Unfortunately, with a pi3, the setback of the ethernet and USB are not far enough for a completely flush fit.
Added an opening to the bottom of the case for access to the microSD card for removal and installation without removing the pi itself, seen below.
Added a blank to cover unused slots in the rack. No profile for it, simple print, so grab it from the raw model files section at the top.