None of the LL stoves have the setup and/or Auger to your coal bin option, you would have to rig something up yourself.
The Bigger stoves have a 200 # hopper and can run for a few days without filling. My Hyfire can run 2-3+ days without filling, depending on the outside temps.
ANY Stove can have a DHW (Domestic Hot Water) Coil added, along with some plumbing, pumps, etc.. to help heat your hot water.
) are a couple.
Do a search on "Hot Water Coil" on here, you will see many different setups people have in their stoves.
There are the Thermosyphon (no pump, but has to be within 10' of your hot water tank or a pumped method for most installs).