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Low profile is still a couple feet of frontal area and there are also all kinds of vents, skylights, TV etc there as well. Just a mini split AC system with the compressor innthe rear in the wake would be nice, or wall mount the A/C with a window style unit contained in a cabinet. That's last one is actually less expensive and how I will do my homebuilt if I ever get to it.
Then like you say, some radius here and there, a little taper wouldn't be that hard, tighten the gap some, etc.
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