Few ones I've used which in my opinion do as you have described sir
https://www.moosetwentythree.com/shop/dobsky - not necessarily a distortion but with the tonal options can certainly do it and more
https://ashdownmusic.com/products/pro-fx-double-shot - with separate eq and gain for bass and treble can get a nice deep low end and a grindy top end.
https://joespedals.com/collections/pedals/products/mbd-mosfet-bass-distortion - great array of tones plus solid low end.
https://www.ehx.com/products/bass-soul-food/ - can be quite light, all important clean blend.
https://lusithanddevices.com/product/ground-pound-mkii/ - had the first one, mild 2:1 comp on the clean really solidifies the low end, and distortion can go from mild to full bstard, cant comment on the latest model though.
if you can find a COG knightfall of TKx, again, sweet clean blend and varying levels of drive
I'm currently using an origin DCX bass, no clean blend but eq is huge, and keep a huge low end and can get a really nice saturation to help those loud moments.