Hi brokenentity, had a bit of a look around for you and here's a couple of links that may help as well as the advice you've had:
9 Tips on How to Stop Your Hands From Shaking - YouQueen
What has helped with your tremors?? - NeuroTalk Support Groups
Although you've already ruled out the caffeine, alcohol and smoking anyway
And the getting worse after exercise makes sense as tiredness or the adrenaline you'll have had going on can make it worse.
I'd say bottom line though, would be to go to have it checked out again with a doctor- and again and again if you need to!!
And maybe try some mindfulness techniques for the anxiety as well???
Those people who make fun of you..............well based on ignorance, you know!!!!!
And just a wild thought (have them occasionally ) if someone were to come up to you and say e.g. racism was fine/valid, you'd know that was ignorance, right???!!!!
You wouldn't change your viewpoint, you wouldn't give them credence, right???!!! So why give those people making fun of you any credence, why let them effect the way you see/feel about yourself???!!!
You are just as worthy with or without the tremors, they don't need to define you/who you are negativelyin any way!!!!
Having said that though, still get them checked out as they seem to be effecting what you can do, and there does seem to be real help out there.
And good on you for being done with ignoring it!!!!!

Alison