@donnellysdogs, I had exactly the same thing happen to me when I first low carbed, my trigs still good but not as good as before and my ldl levels higher.
Not got time to read whole thread but wanted to say I was similarly worried, so what I did was to keep all my fats healthy, fish, avocadoes, nuts, olive oil etc., too nervous to try coconut oil! I also take sterols in tablet form from boots to avoid the carbs in the sterol drinks.
My fats went down from too high to normal, still not as good as before I low carbed but good.
Trouble is my diet before I became prediabetic was the low fat high fibre diet for years so my lipids were excellent then, also I had a lifetime of dieting to keep my weight stable.. The problem I have now is eating enough to maintain my weight. Nuts are my friend!!