1. Hospitals: They'll have tons of people already infected, and the living dead will own the hospitals all around.
2. Office Buildings: The zombies will probably have found a way up during the chaos, and almost every floor could be a potential risk for zombies greeting you at the top of the stairs.
3. Malls: Plenty of people go to malls, and they'll probably already be held up there. In times of chaos, no matter who you are or where you live, people are not the sharing type. People become selfish, and will want the mall to themselves.
4. Military Bases: Like I've said before, the bases have protocols in measure to deal with biological, chemical, and civil unrest. If the base isn't already full of infected when you get there, than they're not going to be letting some stranger walk up to the gates and be let in. They'll turn you away.
5. Grocery Stores: People will probably flock there first, and if there's any food left from all the rioting and taking of supplies. People aren't going to share.
6. Bulk Stores: Places like Costco, Sam's Club, and other places will probably be locked down or empty of their supplies.
7. Prisons: They may or may not be full of either inmates or inmates now turned zombie. Though for defensive purposes, they could be nice. But someone could just blow through the gates if they wanted your stuff?