Cheapo, you can easily check if it is the icing up issue. When the problem occurs, stop the car and lift the hood. Check to see if the aircon pipe leading into the firewall is covered in ice.
I've had the same issue. I'm guessing it's the evaporator temperature sensor that's gone. Same symptoms as you. After a while the air stops flowing through the vents. Manually switching off the AC gets the air flowing again after a few minutes as the ice thaws. You will notice that the new air that starts flowing is still cold from the ice even though the AC is off. The other tell-tale is lots of water under the car from the melting ice after the problem occurs.
Just can't seem to find the exact location of the sensor though (which is another story/post!).
2001 Cross Country SE
140,000 kms
"Write a clever saying and your name will live forever"
Anon.
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