That really stinks Alkymst, i would be more inclined to front them and tell them that there is no way known you can teach anyone else properly in such short notice, like it or lump it !!!
Its obvious they need your expertise, so i would reverse their crap back on them, if they buckle and give you more time to teach, then i would be using that paid time to look for another job that would include taking any sick days, etc off that they owe you, using that time off for other job interviews, but i defiantly wouldn't be showing them to much at all, stretch it out to comply with your needs not theirs, when one door shuts sometimes a better one opens.
I wish you the best of luck.
Brian