^ Deleted my comment as it no longer made sense, yet it lives on!
You'd struggle to find an on-board pre that gave you EQ, grind and compression, yet alone one with no knobs. I think you are looking for a pedal...
I don't think you are looking for a scooped EQ for a solo sound if you are used to moving to the bridge pickup, which is very midrange focused. More like a mid boost? I'm quite into the Fairfield Accountant for solo/boost purposes at the moment - leave the switches in one place, then all you have is a volume knob, and it gives a bit of boost, grind and compression all in one tiny box. In fact you could probably rehouse it in your bass without too much trouble!
[media]https://youtu.be/cumlB6lUU-Y?t=129[/media]