Working in my industry and living in Washington, D.C., I have worked on quite a few jobs recently about the coronavirus, from CDC to NIH to Congress.
As far as the airplane goes, I would be careful and wear a face mask. Wash your hands frequently, and DO NOT TOUCH your face, nose and mouth.
Coronavirus is a respiratory virus, and if you are within 6 feet of a person who is infected and they cough/sneeze, you can be infected with the droplets in the air by breathing them in. 6 feet!
A person who is infected with the coronavirus, they are infectious for 2 to 14 days after getting it. The 14-day is what has everybody alarmed, as some may be thinking the worst is yet to come.
Though the virus germs can live on a surface for up to 3 hours, CDC says it's highly unlikely that you can get it in that way. I still would be using hand sanitizer often if I could not wash my hands.
As far as traveling, I think it's doable as long as you take MAJOR precautions. The thing about an airplane is everybody is breathing that canned air, and it's those droplets that one has to worry about, being spread 6 feet from where you are sitting.
In this regard, use face masks, sanitizer, and wash your hands frequently. Try to avoid touching your face when you are out. Since this is a respiratory virus, it can not only be caught from breathing, but if your fingers have the droplets on them from somebody who coughed/sneezed and then you touch your nose, you can get it that way too.
I think it is safe to travel, but do so cautiously.