Hawaiinei, if you have been following Dr. Peter Attia's long series about cholesterol,
http://eatingacademy.com/ , his latest posts indicate that the particle number, not the size of the particles, are the most important predictive value and has some interesting correlations of LDL-P with LDL-C.
Like you, I am trying to just raise my carbs back up closer to 100g while still following a primal diet, mostly more veg. Beside the higher LDL numbers, some of the other concerns about zero-carb expressed at the PerfectHealthDiet rang true for me, so first trying a modest increase in carbs seems a good plan.
Btw, recently I ordered those thyroid tests directly myself through DirectLabs. The entire experience was excellent and professional, the blood was drawn at a nearby LabCorp office and tested at the same facility any doctor would have used. They offer the NMR Lipo Profile for $127 which is what my doctor prefers over VAP. Even with my insurance discount, some of the tests are cheaper to order myself than using the hospital lab. You can then share your results with any doctor you wish...or not. There are a few other online labs, there was a list of them under a thyroid thread, but my first experience with DirectLabs was flawless.
AddEdit: DirectLabs' June special is the Comprehensive Wellness Profile plus Vit D for $87, if you just wanted to re-check the non-NMR cholesterol profile and some basic thyroid, plus many others.