There's two ways to go...
Replace the entire A/C unit and thermostat along with the wiring with a top of the line residential styled unit...
See if you can re-wire the current unit for a new thermostat that controls the entire unit from a wall thermostat just like the furnace.
I've seen your post on another forum...you can do a search there for "Thermostat Controls" (and some variants) to see what has been done with gaining thermostat control of the entire unit. I believe I've seen a few posts where it was done using a Hunter branded thermostat. I'm not that interested in that mod, so I, personally, haven't looked into it. My wife actually likes the "white noise" that the A/C provides. Even when RVing in the cool spring and fall periods, she'll have the fan on just to have the noise and air movement. In our sticks and bricks, we have a ceiling fan over the bed that runs year round for the same reason...white noise and air movement. Years ago, it used to bother me, but, after 41 years, I've gotten used to it; fortunately, I can fall asleep anytime, anywhere in about 5 minutes and sleep through anything. Really annoys her (very light sleeper and borderline insomniac)
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