I've had a Fulltone Bass Drive for many years, I think it might match what you're looking for. It has a Tubescreamer-like drive, an additional boost with its own level control, and when switched to the "FM" setting (Full Mids) it doesn't scoop. It has no clean blend, and it sounds great to me. Works on both 9V and 18V, but at 18V the boost is... well, "boosted" quite a bit. I don't think it's currently in their range still, but it can be found used.
They've fallen out of grace for a while after mr. Fuller had some debatable opinions on the George Floyd protests, that nearly killed the company entirely. Fulltone had to close their facility in 2022. They're on their way back now after teaming up with Jackson Audio in 2024.