Check again. I think you'll find the problem only in defrost or floor/defrost.
The A/C compressor cycles when in defrost or floor/defrost in order to dehumidify the air. From your description, it sounds as if the compressor is short-cycling. Typical cause is low refrigerant.

AL


Red '98 SVT E0 3098/6535 DMD other stuff and a Bullitt fuel door