It really depends on your ideal work environment. If you want to solely focus on digital forensics you will want to get hired at a Digital Forensics firm that specializes in Incident Response and Forensics for many clients. Often times in this type of position you will only be doing this task from client to client. On the other hand if you want to get experience in other aspects of information security, joining the security team of a company such as a bank will be your option. In this position you will have to handle a variety of information security tasks from policy development to incident response. You will be surprised how many companies higher forensics analysts for their security teams.
Additionally, many large companies also have their own Digital Forensics professionals on their Incident Response teams or as a separate discipline, depending on what the services are of the company. There are many kinds of Digital Forensics careers as well, depending on what it is that you're most interested in (Windows Forensics, Mobile Forensics, etc).
If neither of those options seems particularly helpful, consider working for a consulting company or Managed Services Provider, as they often receive numerous requests from their clients and may have options for you in their offices as well.