Nope, the item to open each dungeon is fixed, and there are no substitutes. A short staff is what you must have.
Keep in mind that store stocks change every day. Burz and Antone seem to be the best bets for the staff. Try camping out in the back and seeing what's new for a few days at each place. Sooner or later, the staff should appear on the list.
Nightowl2
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