I would start by charting the “yes” foods and “no” foods and looking for the commonalities. They are not as unlike as you might think. I know there are people who rave about KETO – and there is more than one KETO plan out there – just remember that there are no real long-term studies available on health effects of being on KETO for extended periods of time. Most plans I see include eggs, which can be inflammatory for many. If you have gut issues, eggs (especially the whites) can be a trigger. I can’t help but wonder if they are an issue for your autoimmune situation. AIP can help you determine how your individual body reacts to certain foods by process of elimination and then slowly introducing foods back in one at a time. For your situation, you cannot follow a single diet that targets one particular issue, your combined issues need to be thought of as a whole. You need to create the plan that considers your entire body and how it reacts to certain foods.
How is your gut health? The symptoms you describe are why I ask. Is it possible you have leaky gut? If so, this needs to be a focus of correction as you won’t be absorbing nutrients properly.
With the Lymphedema I’m sure you are aware that diet alone will not solve the problem. Be sure you are staying hydrated, and keep moving. There are massage therapists who are trained in lymphatic massage that you might want to consider.
Liver health is important – often overlooked. When we consume fats, the liver sends a signal to produce bile. The more fat we consume, the more bile is needed. It doesn’t matter if the fats are ‘healthy fats’ or not, fat = bile production and action needed by the liver. It’s a lot of work for the liver. You need to calm the inflammation in your body, so ‘gentle’ is what I would recommend. I like to ease my body into the day with warm lemon water first thing in the morning. This supports the detox stage the liver has been in during the night and gives the metabolism a gentle nudge, before taking on the day.
The bottom line for people like you and me is that trial and error needs to happen. Keep a written diary or log of some kind. Be patient – it can take time to figure out what works for your body and what doesn’t. There is likely no quick fix, but inflammatory foods are not your friends. I stay away from processed foods, sugar, gluten, grains, and keep it very clean. Organic grass-fed meats are all I eat when I have meat, but I eat mostly plant-based for the bulk of my diet. I also like to juice, as Bob suggested, to get some dense nutrition in without too much fiber which can be tough on my digestive system.