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This is a tough one to manage, I'd say the best way is to create a single gmail account specifically used to register, claim and manage the accounts.  Then just setup email forwarding to your primary email so you can get notifications.  I'd also use the same email to setup google alerts for the dealership name to be notified when your brand is mentioned in a forum or in a review, etc.

Hootsuite is a good one because you can manage and post from one central location, as well as add users to the team so your not duplicating posts, and you can assign tasks to people on the team.  For example, someone mentions your dealership on twitter, you can assign the task of responding to the person responsible for social media at that store and ensure they responded.