As of writing this, all my models are just imported from when I originally shared them on other sites, and I just recently got a Bambu printer, so there are no print profiles provided by me (yet).

Most flying bases I found were too unstable or too in the way at my table IMO, so I made some that fit my needs better.

These are designed to be as unintrusive as possible, both physically and visually.
They need some 5mm rods of some kind, as 3D printing can't provide good enough structural integrity while keeping the design as thin and tall.
I got some cheap 5mm acrylic rods, to keep things as translucent as possible.

There are 4 core designs. Height is technically only limited by the height of your rods, but stability will become an issue pretty fast.
The example from my picture is as tall as I would be comfortable with myself. It is about 6 cm, 12 cm and 18 cm respectively (odd numbers stemming from how to best divide the rods I bought).

I might try some designs for bigger creatures at a later date, but atm I will rather dig out my big and clunky flying stands for those, for maximum stability.

Since accuracy of both your printer and your rods might vary, I made variations of the rod mounts for every piece from 5 mm to 5.5 mm. I also attached “FlyingStandDiameterTest” that I recommend you print first, to see which variant is best for you.
I also attached my Fusion 360 files. Feel free to make further alterations.