One option would be to buy a couple of Ikea portable induction single ring cooktops. They could sit on top of the damaged cooktop. They are about $50 each and work well plugged into an ordinary power point. We have one we carry in our camper trailer. Since you plan to leave in 6 months, this would give you something good to cook on now and you can take them with you. With the pressure for a quick solution removed, you can explore the options others have suggested at a more leisurely pace.