Ahh , all outside! That makes a difference.
The second link I gave you for the Tim Barker design would work well .
Other than it is a J tube rocket stove, so burn time would be short... lots of trips out to refill the stove.
Using a batchbox burner would cut those trips in half.
With you design , if it is outside, why have a double barrel? Are you wanting that heat for another space?
As I think about this further...
Since this application is strictly for heating your floor, why use water at all?
hydraulic oil can be safely heated over 400 F
Here is a link for a homemade pump)
https://permies.com/t/33523/world-famous-SBC-pump
This might be just what your looking for!