The mall is a great place to meet women, and you find an array of different woman depending on where in the mall you run into them.
I highly recommend going to bars by yourself. I've been doing it for a while now, and I learned a lot about my game and had great success going stag.
Here why you should go stag:
1- No one will notice you're alone. You mention seeming "normal." Truth is, no one will even notice you came alone. People are alone at the bar all the time, whether it's because their friend is in the bathroom or getting a drink or maybe they're waiting to meet someone at the bar. Of course there actually are other people like us who go to the bar just to bring women to bed. Don't worry. No one will notice or care you're alone. Have you ever looked at someone at the bar and said, "This guy isn't normal. I think he's alone." Probably not.
If a girl asks why I'm alone, I usually say my friend went home early because his girlfriend threw up and he's home with her now. I then act a little annoyed by it in a playful way and move on with the conversation. Or you can just make a joke about why you're alone and side step it altogether. Chances are she won't bring it up again. The other thing is, you don't even need to lie. Tell the truth if you want, and you'll be surprised at how many women see it as a confident thing for you to do. Most women, and even men, wouldn't dare venture to a bar alone.
2- You'll talk to more women. You're by yourself so you have to approach women constantly. Your buddies aren't there to talk to you or prevent you from going up to women. This also will motivate you to go home with a woman that night since having a slice of pizza with your friends afterwards is not an option.
3- No fear of rejection. If you're the type who's self conscious about what your friends think when you talk to a woman, you have nothing to lose if you're alone and get shot down. None of your buddies will critique or look down on your game.
4- You'll have the seducer's mindset the entire time. If you go alone to a bar for the sole purpose of bringing a woman to bed, you're more likely to do it since you're thinking of one thing only. You won't be laughing with your friends about something. You'll have tunnel vision to bring a girl to bed. I've noticed that my game is way more solid when I go stag.
Give it a try. If it's too much at first, just go to a bar alone and have a few drinks. See how you feel. You'll be surprised at how quickly you'll be picking up woman without a wing man.