Here is something you might want to check out:
The Triglyceride/HDL Cholesterol Ratio
There is a pretty good summary of cholesterol and triglyceride ratios. You can also search engine Triglyceride and HDL ratios for more reading.
The writer waited (I think grudgingly) till the end of the piece to state what many have figured out already.
Although low-fat diets may help lowering LDL-C, low carbohydrate diets are more effective in improving the TG/HDL-C ratio.
The only thing I would add to this is the inclusion of a NIASPAN regimen to increase HDL levels.
I figured this out the hard way after following strictly medical advice for a hypercoagulable blood condition. I was placed on a very low fat and high carbohydrate diet with disastrous results. I switched to a very low carb (VLC) diet over ten years ago and have been clot free since.
YMMV