what a predicament...
I agree with waiting a bit, at least until the frigid temp of this weekend are past...
I would be leary of drilling through ice, for fear more water will come up...
I wonder if using a chainsaw to cut a narrow trench along the outside of the entire house and filling it with salt of some sort...
then like has been said get the inside good and warm
have a pump of some sort to clear water away beyond the snow berm you likely created moving the snow away.
forced air heaters and tarp may help, but may also be pissing in the wind. While salt & sun are working nature's majic, chip away at the wheel areas and also try to make spots where a jack can get under the frame in a few spots.
Good luck, hope this works out, quite the learning experience