Is there in the room a constant air fan (mode) option on the thermostat with the air conditioning?

Yes, at least in the rooms I have stayed in

There are setting for Low Fan, High Fan or Auto. However, in the summer with High Humidity if the Low or High fan option are used it pulls in only Hot Humid Air. Only the AUTO setting allows the A/C to dehumidify the air. Please only use the Auto Setting during warm/hot months. If you would like a fan for "white noise", ask the front desk and they will gladly provide you with one. ajp.

Yes

I believe there was.