Quickly yes, but easily, no. The truth is, without using an agent that has access to credit report checking services, you are going to be at a disadvantage. You, as a consumer, cannot request a credit report on anyone but yourself, and therefore will have to take the word of the potential renters of your home. Craigslist is a great way to get exposure for your listing, but the safety lies with knowledge--and isn't that priceless???