You TGab of 2,706 is quit high, but there is no treatment that will alter the number of that type of antibody except removing all thyroid tissue. It will go up or down as it wants to.
TGab is one of five or six thyroid antibodies. Doctors usually test for the "Big 3" when they are trying to make a diagnosis. The three most common.
TSI antibodies (Thyroid Stimulating Immunoglobulin) are a pass/fail test for Grave's disease (autoimmune hyperthyroidism). If the test result is above upper lab limit, the test is positive for Grave's. If the result is below upper limit, it is a negative result and rules out Grave's.
TPOab (thyroid peroxidase antibodies) is a test with four different names, and is usually the first antibody test run, and often the only one run.
TGab you have been tested for.
Those are the "Big 3".
There is also TRab (thyroid receptor antibodies), which can cause problems but is not as common as the others. TB1 and TBII are antibodies associated with Thyroid Eye Disease.
These are not tested for frequently.
If you have TSI antibodies, you have Grave's. If you have TSI antibodies, you can also have TPOab and/or TGab, but it is still Grave's Disease.
The textbook definition of Hashimoto's Disease (autoimmune hypothyroidism) is the presence of a high TPOab along with either a goiter, or a lack of thyroid hormones that requires thyroid hormone replacement medication.
You can have Hashimoto's and have TPOab and TGab present. You can have Hashimoto's with TGab and no TPOab, although that's not in the textbook.
If you have not had a TSI or a TPOab run, it would be good to do that. At least then you will have a diagnosis. An ultrasound of the thyroid would also help with a diagnosis.
I can't speak to the thyroglob because I know nothing about it (and there are lots of people here who do).
However, I also have SVT (usually called PSVT) caused by a congenital heart defect, Wolfe-Parkinson-White Syndrome...my heart is basically slightly mis-wired.
I do know that when the thyroid hormones increase (either from your own thyroid producing too many or upon increasing medication) the episodes of SVT also increase in both frequency and duration.
My SVT starts and stops like someone threw a switch in my heart (this is characteristic of PSVT). I go from resting heart rate (often in the 50s since I'm on a beta-blocker) to 200+ in seconds...the reverse and just as quickly when it stops. I know what a miserable feeling it is. I've had it all my life, so I'm somewhat used to it, but it can be really, really frightening the first couple of times. The "good" news is that PSVT, though extremely annoying, is usually not life-threatening.
I'm struggling with trying to increase levothyroxine dose to stabilize my T3 and T4 levels balanced against my WPW going wild. If you've never had the SVT before, I'm sure that elevated thyroid hormones could precipitate it for the first time, just as more medication increases mine.
Good luck getting it all resolved...hope the Cardizem takes care of the SVT for you (it should), and you will probably find you no longer need it once thyroid is stable.