We dealt with this before in my original timeline, though I wasn't old enough to do the work myself at the time. My mentor Greg House was fascinated with it and liked to make crude jokes about it.
They weren't able to eradicate it from those already infected but they did come up with a vaccine to prevent new infections. So it is possible.
I would definitely take the samples in the medbay clean room under anti-contamination protocols. It's too dangerous to keep a sample long term though, I'd treat it like they were supposed to treat smallpox or polio and eliminate any lab samples once the work is finished on prevention. It's just not worth the risk.