Can I make a Rocket Mass Heater that warms my floor?

Hey there, so I am totally new to the game. I move to my vacant land in less than 2 months and I have a question. If I build a Rocket Mass Heater inside my home, and attach a copper coil to a thermosyphon style water tank... can I run the "cold water" lower pipe into some PEX and through my floors and then up to the base copper in the unit to be heated, and then re-added back to the water tank as hot water? Or am I grasping for too much here? I lay in bed in my forced air city home thinking of this over and over and can't see why not other than the thermosyphon wouldn't be strong enough to bring the water through that length of piping. Any ideas or thoughts? Would I need to introduce a small pump to help the water along or am I just a lunatic all around.

-Sincerely a crazy-minded single mom about to run away into the untouched depths of a northern forest on a Canadian Island.
AKA Kandice.

Hi Kandis;  Welcome to Permies!  
Congratulation's on getting your land!   Always an exciting step! And a new house as well!
There are RMH'S designed for heating water.  However the basic RMH is designed to heat your home with less wood and less pollution. Asking it to heat the floor as well, is a bit more than they are designed to do.
Running water thru copper pipes around an RMH has the capability of flashing to steam. When that happens your copper pipe instantly splits wide open... spraying steam and scalding water into your house...
way to much excitement for my 92 year old home and probably for your brand new home as well.
There is a limit to how much heat you can harvest from a RMH.  Use that to heat your home.  If you want RMH hot water then we will help you to design a stand alone RMH water heater.

There is another thread on this that just got going.  Maybe you'll get some ideas there...
permies post for water heater