I think its all a package. Lower the BS and the higher triglycerides might go away . I agree with what others have said about getting your insuli right and learning how to dose according to what you're eating rather than the other way round. Hopefully you'll be able to do that with the help of your new doctor (unlike some of the others I would suggest you stick with him for a while. I didn't like my diabetalogue when I first met her but now we understand each other we get on very well)
Half an hours exercise a day may well go some way in reducing both insulin resistance and triglycerides. It doesn't have to be running! The more exercise I do, the less insulin I have to take.
Personally I can never remember to take pills, I have a very expensive and almost full bottle of cod liver oil capsules that I bought when first diagnosed. I don't however forget to eat
and try to eat two-three portions of fish ( at least one oily)each week. (actually I eat a normal 'balanced' diet)
My triglycerides were 250 at diagnosis, in March they were 64, HDL has gone up from 40 to 62. The biggest reduction was in the first couple of months when my BS got under control but since then there has been a steady reduction and a gradual increase in the HDL.
My husband has an heriditary high triglyceride level, he does (when he remembers) take a small dosage of fenofibrate every day. His levels are now fine ( but whether its the diet or the pills I haven't the foggiest idea)