Shouldn't you be able to simply run it from Butane or Propane instead of needing to "cook" coal to produce a gas?
The paradox engine requires hydrogen as it's main fuel, usually in the form of illuminating gas or street gas. Wayne Grenning has done lots of experimenting with various mixtures. Most hydrogen engines will run fine on 80/20 mixture of hydrogen and propane. Most can also run on pure hydrogen.