This project dea has come up before, this time last year or so as I recall.
Options:
> Pyrolectric Sensor (infra Red), found in alarms, mounted on/near faucet.
> Foot operated switch
> Pressure Mat switch, placed on the floor in front of the wash basin.
> Vibration , some things do work better with a tap.
> Ultrasonics , detect the person stood in front of wash basin.
Finally, for the more effluent members of society,
the humble Lavatory attendent does everthing.