hey....
welcome to the forums.
forget about using photovoltaic or wind for heating purposes. storing
enough energy would be extremely expensive.
have you looked into passive solar? also there are DIY solar panels that heat air and pump warm air into the building.
what exactly is causing your concerns with asthma? air humidity? dust that would be moved into the air through heating sources? the "cooking" of the air?
radiant heat
should be most healthy. maybe a
rocket mass heater would be the best solution? along with insulation and thermal mass inside the house to store heat,
edit: propane is very convenient for cooking. there are these small protable cookers that run on 220gram cartridges. you could try one of these. i think, many of these can be hooked to a gasbottle later. or you can try ethanol-cookers.