Here's one possibility.
In most tube amps, Sunns for sure, the input goes first to an amplifier stage, then the volume control. Because of this, it's possible to overdrive the first stage with a hot input, yet keep the volume low overall. Try turning the volume down on the bass, or using a different, preferably passive, one. If doing this allows you to turn up higher, ang gets you a clean sound, then you might well be overdriving the input stage.