Hi,
did this is a etching tank with a pressure air ? If this is it, then not only the heat well be a problem, heat will increase the temperature, and this will increased the evaporation. But the pressure air will have a more strong effect in this direction. You must have a very good ventilation to save your health.
Actually the feric chloride is not is not a very harmful, and not a dangerous as a nitrogen acid, but you must be carefull with a vapour. In normal temperaute, this is not a problem, but with aeration, and high temperature this may be a problem.
Have a some other way for etching the PCB. Different alkaline solution. Have one more very fast method, and not a very dangerous for hand .. but must have a good ventilation. H2O2 + HCl, use 30% H2O2 and 30% HCl in proportion 2:1 or 3:1. Must know that this solution is very unstable, you must made it before using. The solution is good to be cold. If you have old refrigerator, you can store the botle with a HCl and H2O2 in refrigerator. This is a very fast method, compare to concentrate nitrogen acid, but is more safety. Just remember, you will need a good ventilation.