I ran all the stages of the new Khan with SB. This is only my experience, so take it as that and the obvious mileage may vary.
For me personally, the Khan / Stark Black combo works best up until stage 3. I think if you want that combination of things, keep it to Khan Stage 3 and SB and run that for the long term. Stage 3 is like gasoline to the fire on SB and things will happen.
Stage 4 I hit a serious wall as the two scripts seem to conflict in many ways. At least for me. It was apparent that I needed to pick a lane and I did, I stuck with SB and went ahead in making a custom on it with Mogul (many thanks again to @Plutus and @Malkuth for assisting with that whole process).
So I think you can probably get a lot of benefit from Khan and SB, particularly with Stage 1 and Stage 3. Stage 2 is great also, but Stage 3 is when things really heat up.
You might have better luck than me with combining Stage 4 with SB, but I honestly feel like it’s a lot of conscious guidance and trying to find middle ground between two warrior archetypes set forth on conquering the world with very different ideals and approaches.
If you do make it long term on Stage 4 with SB, please, let me know how it goes for you. I’d love to hear some stories from that combo.