Hi EarthMother - lovely to see you 
Sorry to hear about your thyroid problems though - but hopefully they will get them sorted out quickly, - it's good you have no symptoms, as they can be something of a pain! - I've got Graves disease, - so not exactly the same as your problem but also causes over active thyroid, I was on carbimazole and then I opted for radioactive iodine treatment - in my case it was a drink I had to take at the hospital - just the one dose - then I had to keep my ddistance from the rest of the family for about a week IIRC. Not sure what happens with the injections in regard to precautions around others though.
Anyway the upshot was it seems to have sorted the over active thyroid, - but went a bit to far the other way and made it underactive - so now I'm on levothyroxine which I take everyday, - no side effects to this drug luckily. It's pretty common to be left with underactive after the treatment, but that's easier to treat than overactive.
The main problem I found was that its a bit of a balancing act sorting out dosages and measuring effects of treatment - you have to keep waiting 2 months to see if something is working and if its not, then you can feel quite unwell during that period. But the fact that you don't have symptoms is a definite plus I think, hopefully they will get yours under control, and you won't feel unwell.
I'm OK now, and have a blood test every few months to check on the dosage, - if there's anything at all you think I can help with, just ask - happy to answer any questions if I can 
Sorry about the lymphodoema - that is a pain
- hope you can get that sorted out soon.
Ned - specs sound snazzy - pics please 