I developed mild cholestasis at around 34 weeks, and it is nighmarish, I am sorry you're going through it. I was up for almost three days, itching and crying... My liver levels came back alarmingly bad, BUT when my serum bile levels came back a week later, they were within normal range. Regardless, it meant twice weekly ultrasounds and much terror and disappointment on my part.
A few thing you can do to help your liver:
-- Get thee, right away, to an acupuncturist. Let them know you're being treated by a regular physician, but that your liver needs help!
-- Milk thistle tincture AND dandelion root tincture helped with the itching for me. If I would take only one, and not the other, the itching would return. Awfully. I used the "Herb Pharm" brand.
-- WATCH your fats. Fat exacerbates the work of the liver and gallbladder. Sugar is a big no no as well, but really watch your fat intake.
-- No tylenol. My cholestasis onset after two days of taking tylenol to control a fever. I know that many women consider it safe in pregnancy, and I believe it is for most, but not if your liver is flaring up.
As I said, the serum bile acid test came back negative for me, despite my concerning liver levels. But within a few weeks I was able to bring those levels back to normal, and so they just watched me very closely (twice weekly ultrasounds and liver checks), and I ended up having a completely uncomplicated, freestanding birthcenter birth at 39 weeks. That said, I did a lot of research in those 2 weeks. Had the serum bile acid test come back with bad news, I would have most likely had my child in a hospital. (And let me pause and say that the prospect was heartbreaking and frightening. Don't let anyone here downplay how hard that is). I'm fairly certain that induction at 36 weeks is standard in obstetric cholestasis cases, just because the stillbirth rate rises dramatically afterward. But in my case, my partner and I chose to continue with the extra monitoring because of the results of the serum bile acid test, and because I was able to qet my liver levels quickly back in check.
I did start taking evening primrose oil, to prepare my cervix in case of induction, pretty much a couple days after first having my liver tested. Also, lots of loving from the hubby!
Another thing, in your myriad of research details, is to consider taking the vitamin K shot/drops for your LOs once they arrive. For normal and healthy pregnancies, it seems silly (to me) to do so, but obstetric cholesasis is a condition that affects infant vitamin K stores. It is probably something worth checking up on,