@Brian Ellis: I have been in a similar situation as yours recently for a rental that the previous time rented out in one day. So I think a lot of it has to do with the time of the year. Here is my timeline:
10/3: Posted the ad on CL
10/4: Posted the ad on Zillow and Zumper
During the first ten days, I got a lot of attention, but since the unit was occupied (and my tenants didn't cooperate in letting me show it), I only offered showings to people who sent me an application--first mistake. I got only a couple. I had the first open house/showing 10/20--second mistake. I only got 5-6 people and none seemed ideal. Both mistakes stemmed from not knowing how different it would be having an open house late October vs. early September.
10/22: I started using a google form for anyone interested to respond to a few questions (an idea I learned from this board). I got a very good looking candidate and I was able to arrange for my tenants to show it to him, but in the end, he thought he needed more space.
10/26: I sign up for turbotenant.
10/28 (Sunday): Second open house, 3 hours. I again tried to be accommodating to my tenants, since it was their move-out day, so I had it 2:30-5:30 pm. No one showed up.
11/4 (Sunday): Third open house. Only two people showed up. At this point, I only had a few applications, but none looked great. My network suggested to give a chance to one of them but my instinct told me not to.
11/5: The good looking candidate writes to me saying he would like to apply because his situation had changed (one of the people moving with him was no longer moving with him). Additionally, another very good looking candidate applies (without even contacting me first!)
I spend the week torn between the two. I find out more facts about the first good candidate and I worry about a few things. I make an appointment to meet the other very good candidate at the next open house. The day before, I think to myself that I wish that someone else showed up who were better than either and I didn't need to choose between the two. Because otherwise, I would probably need to go for one of them, since my rental had already been vacant for ten days...
11/10 (Saturday): A family shows up right when I open the doors. It bugs me because it is the time I had given to meet the second good candidate. In the end... that family turns out to be "the one"!!
In giving you a summary of my story, I mean to encourage you to follow your instinct and be a bit patient with the situation, because as everyone will tell you, you'd rather keep a vacancy for some time than have to deal with an eviction later.
I found the form with the pre-screening questions very useful. If you would like to see my questions, let me know.
As a reference, here are my stats of what sites brought me leads: 48 from zillow/hotpads/trulia, 24 from zumper, 17 from CL, 2 from turbotenant. (It wasn't a fair race for turbotenant, since I didn't use them from the beginning, but it wouldn't be a fair race for the rest if I had used them from the beginning, since they would have sent ads to the rest ;)