The thermostat has a few wires to the Roof unit.. one for "Cold" and "no cold" and a few more for the blower (Fan) Digital or analog. Does not matter so long as you have the same wires. NO part of the thermostat is in the overhead. it's all on the wall.
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How high is your cealing?
I used a Coleman to replace my Carrier (Since Carrier is no longer made) I could not get the adapt-a-kit so I went with "local Control" the knobs were on the ceiling part of the Rootop A/C. Worked great though Well.. You need to bore out the holes under the control knobs in the ceiling grid so you don't have to pull the knobs off to remove the the grid and possibly cut a bigger old in the filter as well (Since air does not pass through right here you can do that)
Home was where I park it. but alas the.
2005 Damon Intruder 377 Alas declared a total loss
after a semi "nicked" it. Still have the radios
Kenwood TS-2000, ICOM ID-5100, ID-51A+2, ID-880 REF030C most times