Hi Jim - I live in SW Georgia, just above Tallahassee and have a Poly g/h that is 10 X 12 which is admittedly smaller than yours BUT, I only use a 20" box fan hung from the ceiling running 24/7 and a little 12" electric heater with a thermostat control on it during the winter.
This will be my third winter and my G/H has never gone below 50 degrees and NO damage to any of my orchids, which I have a collection of about 180 orchids. Good luck with yours. Don
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