If you found a prospective tenant that quick I would suggest putting another ad on Craigslist for a higher price. The rental market over the past few months has changed dramatically. The rental market is surging as inventory is fairly depleted with so many homes off the market. I have seen homes in my community up almost 15% in just a few months. It may be area specific but I have had a few people tell me that prices are extremely outrageous all around the county. This looks to be affecting most of the rentals below $3K. Everything above that number still seems to be unchanged or is continuing to fall.
Put another ad up on Craigslist, have an open house at a specific time and meet all the tenants that are interested. This will give you a better idea of who is interested in your home and will allow you to make a choice. I always used this technique and prefer it rather than scheduling specific times for each renter.