What a tough call.
But first congratulations on your studies!
I know here in NC an employer can't legally ask you about your health issues and ailments. (It may be in every state?) And as far as being 'labeled'... HA!
Sure I know what you mean but if it helps you get a job, career, support yourself and family, pay bills and make it so you don't have to eat out of a dumpster, I say use it to your advantage.
Employers only need to know so much. I'm not saying be devious or a liar, but once you're in the door your work ethic and job performance will speak for you.
But that's just me.
I am the MonSter that MS fears.