How do you feel about the price of the rental? Can you still make a comfortable profit on the current rent price? If so, it might be worthwhile using this opportunity to get a the best renter.
Start out with a preliminary application, figure out who, of the 70 interested parties, is actually qualified to rent your place. Take the remainder, and schedule them at 10 minute intervals, grouped on one day so you don't waste your time if a prospective renter doesn't show. Select the best tenant, and wala, you're cooking with gas.