Dial back your low mids and bring up high mids not pleasing to the ear solo but in a live setting low mids = mud
I agree and disagree.
Yes, mids are the key to getting through. But low-mids are not always mud in every mix. Sometimes they are exactly what is called for. It is different for every band, every technique you use (fingers, slap, pick), and certainly every room.
Here's the thing. It will be hard to find a tone that works well and cuts through for both finger and slap styles. Not impossible. But hard. What I would do in your case is first off start from FLAT. Work from a flat EQ to find what tone cuts well for your finger style playing. Then get some sort of stomp box (SABDDI, Radial, etc.) and set it for your slap tone that cuts through. Stomp on it when you switch techniques.