There isn't much contagion threat until the person is symptomatic. Once symptomatic, they won't be shaking hands much, and they will be recognized, quarantined and contacts investigated. There probably would be some transmission before they were caught, but probably not as bad as you imagined.
How fast do the symptoms come on?
I know with some colds and flus I've had, I've had indeterminate symptoms for a could days before going into a full fledged raging sore throat where I could say with certainty, that I was sick.
Some of those symptoms have been simply fatigue and a slight bloating, a water weight gain.
Thanks to both of you ....It puts my mind at ease a bit