klh,
> Now that I know the peaks, how do I calculate and anticipate the nulls? <
Great question, and the answer is simple too. All rooms suffer peaks and nulls at all frequencies, not just those that align with the room dimensions. At any location in the room you'll probably be able to find a frequency that peaks and another that nulls. However, modal peaks have a resonance that causes those musical notes to sustain, where peaks created by simple boundary interference do not resonate.
> Besides broadband absorption, is there a way to deal with them? <
Broadband absorption is best in most cases because it flattens the response at all room locations, and at all frequencies, regardless of whether the cause is modal or non-modal. Tuned absorption could be appropriate in an extreme case, like a room that's 8 feet cubed. But from what you described about your room, broadband makes the most sense.
--Ethan