unfortunately the ender 3 is the worst, most problematical machine currently on the market.

I have no idea why they are still being recommended and bought.
I'm doing my best to dissuade people.

So yeah, basically anything else should be better.

If you could print anything I'd say replace the levelling nut wheels with locking nut wheels.
You could probably do that anyway, just be a bit tricky to turn them - but at least once it was level, you could make some wheels they fitted into.

So that's my best suggestion. replace the levelling nuts with locking nuts and see how that goes.

The sad thing is that for another $100, there are some really nice machines out there.