Welcome to Just Answer. I will do my best to fully answer your question(s).
The best and safest thing you can do is turn your furnace heat way up temporarily as long as you can stand it. 80-85 degrees. Typically the main waterline run close to the duct work and hopefully the heat will transfer enough to thaw you out. Also turn on a faucet or two so you know when it thaws. I used to do this when I lived in my mobile home in Northern WI.