Elevated TPOab and TGab are indicative of Hashimoto's Thyroiditis as are your symptoms.
What are the actual values of your T4 and T3 and are they Free T4 and Free T3 or are they Total T4 and Total T3? If the lab report only says T4 and T3, they are Total, which aren't very good good indicators because they show, both bound and unbound (Free) values.
If you can post the actual results along with their corresponding reference ranges, that would be most helpful as "normal" on a lab report isn't necessarily normal for you. Also, if you've vitamins B-12, D and Ferritin tested, please post those values and ranges as well, since Vitamin B-12 and D are necessary for the proper metabolism of thyroid hormones. Ferritin is the storage hormone for iron and iron is necessary for conversion of Free T4 to Free T3.
I'm sorry you can't get any doctors to discuss the high TPOab with you but I can put your mind at ease about a couple of things.
First of all, it's true that the antibodies are causing inflammation, but they will not cause your body to spontaneously combust - ever... I've known people to have even higher counts than yours and although they may not feel well, nothing horrible happens and when they continue trying, they eventually get the treatment they need.
Secondly, these antibodies do NOT cause Rheumatoid Arthritis or any other autoimmune conditions. The TPO enzyme is used only to make thyroid hormones and that's the only thing the antibodies attack. It is true that thyroid conditions can cause heart problems of various kinds, but it's not the antibodies that causes heart problems; it's actual thyroid hormone being either too low or too high. Although your levels are on the low end of the ranges and you would benefit from treatment, they aren't at a critical level at this point. If you develop a true heart condition now, it's unlikely to be thyroid related.
As far as bringing your TPOab under control, once they start attacking your thyroid, they will continue to attack it until your thyroid is completely destroyed, meaning it does nothing and you will be dependent on replacement thyroid hormones, like many of us are. There are those who say that changing the diet to eliminate things like gluten, dairy, soy, sugar, etc will decrease antibody counts. Avoiding goitrogens may be helpful. You can google for a full list of foods that may inhibit production/absorption of thyroid hormones. Goitrogens, basically, include cruciferous vegetables, such as cabbage, kale, broccoli, cauliflower, etc and some fruits. Cooking the foods destroys the goitrogenic properties.
Selenium has also been shown to lower antibody counts. Replacement thyroid medication may help reduce them as well, but as noted previously, many doctors refuse to start patients on medication until thyroid levels are completely out of reference ranges.
You can try the elimination diet and/or selenium. 200 mcg/day is the standard dosage, which has been shown to be safe. Selenium can be toxic if levels become too high, so it's not a matter of "if some is good, more is better". Basically, the antibodies will destroy your thyroid and when it's all said and done, it will be the resulting low thyroid hormone levels that are making you feel the worst.
Many, whose labs actually fall within the reference ranges, have better luck getting early treatment from Naturopathic doctors than from conventional doctors because conventional doctors tend to concentrate too much on lab results and discount symptoms. Naturopathic doctors are willing to look at the whole body and realize that without proper treatment we can't possibly get well. The problem with naturopathic doctors is that many of them don't take insurance so paying out of pocket can get quite expensive, especially getting started. Of course, once established, on medication and stabilized, it's not necessary to visit the doctor more than a couple of times/year if one is otherwise healthy.