You can keep them in a tub up to a certain point. They are predominately terrestrial like a ball python or woma, but whereas a BP or woma could live their lives in a CB70 size tub, a BHP will outgrow this and will need a cage that's at least 4 feet...........and height in the cage isn't so much of a concern as floor space is.
Head over to (google) either Southern Cross reptiles or Pilbara Pythons. There is some good info on those sites. Or look up either Derek Roddy or Tom Keogan for some advice as well. Those guys know their stuff and have some amazing BHPs!