Rocket Stove exhaust pipe temperature

How hot does the actual exhaust pipe become after the rocket stove has been lit?
How much heat does the mass emit, or is it just through physical contact?

I just moved to south florida and last year we had a frost, some nights get down to 40s. People around here use space heaters to prevent it from being too cold. I would like to prevent myself from using a space heater by attaching a rocket stove outside of my home, have the exhaust pipe enter maybe under the flooring, and exit back out.

I would also like to use it to keep my outdoor tropical fruit rack from getting too cold at night and possibly losing a lot, which is where my second question comes into play.