I don't think there is anything you can do but your landlord sounds like a right piece of work and if I was you I would get out of there pronto, especially if this is a recurring thing every winter.
To be honest I don't think there is anything you can do except move out.
If the landlord was any way decent he would at least supply you with bottled water (even if it's from the taps in his own house) for your use in the meantime and supply some sort of electric heaters, I'm sure a friend would allow you to use their shower, but bottled water and some heaters should be fair enough for him to supply.