Rip an AC unit that has the proper air flow (no cloged filters ect.) should not ice up. Ice is caused from low airflow or low Freon. If the evaporatior coil (inside unit, air hander) gets too cold ice can form and this will slow the air flow down even more, then more ice will form. The air entering the unit must get very cold for this to happen in a normaly operating unit. If the freon is low then the heat is not removed to the condenser unit properly and this can ice up the coils. Think of a can of compressed air it gets hot when you pump up the can (compresser pumps up the freon) then return to room temp while under pressure (freon is cooled out side in the condenser) then it gets cold when you release the pressure (freon is returned to the house as a high pressure gas and then pressure is released and gas absorbes heat and returns to liquid taking heat with it back to the outside) Think of it as a heat pump moving the heat to the outside. Ice should not form unless the temp is low (40's) and you need a great deal of humidity (hard to get with such cold air) for this to happen. Your unit should NOT freeze up at 70's if everything is working properly.
The freon is a hot high pressure gas from the compressure then it goes to the condenser coils and the heat is removed (still a high pressure gas) then it is sent to the evaporator coils where it's pressure is released and it gets cold and turned back into a liquid as it absorbes the heat and returns to the comp.
rinse and repeat
I am amazed at the myths and voodoo surrounding AC units, it is a very simple process really.
Regards,