How do I make my bass sound good with an overdrive?

Hello, sorry for a potentially amateurish question.
In order to make my bass have any distorted bite at all, I need to push the overdrive and the "treble" knob up so much that it creates a static noise that is so strong that not even my noise gate pedal can silence it.

I don't have a problem playing high distortion and high treble with the electric guitar on that same overdrive pedal, and the noise gate silences the noise just fine. But I feel like I need to crank "gain", "presence", "drive", and "treble" to the maximum in order to make my bass sound distorted with some high-end, but that creates a static noise that is as loud as the notes I play...
I face the same problem with a different distortion pedal.

What am I doing wrong?