Already established that the OP can’t use electric.
Gas is probably worse than paraffin for condensation,( although I don’t know what the amount of condensation paraffin uses). I used to work for Shell gas a long time ago, but we would tell customers that for every pound of gas burned it produces a pint of water, so the large cylinder of gas contained 104 lbs of gas, so produced 104 pints of water.
I wonder what the OP has that needs to be kept in a heated environment, i now grow plants that don’t need heat, just frost protection, everything in my garden is from seeds and cuttings and I’ve never had any of my greenhouses heated. My theory now is... if it’s going to cause a worry of any kind...I don’t grow it. Through this winter I will have lupins, Delphiniums, Penstemons and viola in them.