Hi Adam;
Sounds like an exciting build you are planning!
With your desire for an RMH cook stove, Matt Walker's designs are proven.
The Lorena stove is also a proven design.
The problem is your hope for a larger firebox, neither stove allows large pieces.
Your comment on not wanting to use little sticks is a bit outdated. Only a small size J-tube requires "tiny fuel".
Most like the Walker, once going, use 3-4" "cookstove" size split wood.
Heating water can be accomplished however it is a slow process when done safely.
This means your stove needs to be burning all day.
Perhaps you need two stoves? One to cook on and another for mass heat production? I suggest a batchbox with a bell design for heating your water.
Or perhaps the Tim Barker J-Tube outdoor water heater might interest you?
https://www.permaculturenews.org/2012/11/23/rocket-stove-hot-water/
A common mistake is asking an RMH to accomplish too many things.
They are an awesome tool but not capable of leaping tall buildings in a single bound... (Superman reference)