All good points, and I appreciate your input. I'm in a marina, and the water is generally quite clean, but I have seen the occasional plastic bag floating by. My major source of concern is the condition of the hoses in the system. Until I get time to change them all out, I'm dealing with hoses of unknown age on a 20 year old boat. I can just imagine what would happen if one of them blew mid-week.
Dehumidification would be a welcome benefit of leaving the A/C on, but I feel that a blown hose would pretty quickly re-humidify the whole boat. I may actually look into a small dehumidifier as one of our dock neighbors has done.
I do have some buildup of gunk in the strainer basket, but then I've only opened it once so far, so it's hard to tell if it was there when we bought it, or is new. I was told that bromine in still water would not do the system any good, with possible corrosion issues or hose deterioration as you mentioned. The copper strip idea was to act as a biocide inside the strainer only, and I guess it would help the rest of the system when it is turned on.
I'd really be interested to hear how anyone else addresses this.
I don't think my cojones are going to grow big enough to let me leave the A/C on during the week while I'm at home an hour away from the boat.