Some of the folks here warning against mohawks have fair points. Having had one, I know. You have to have a very strong sense of "who" you are, because others will assign all sorts of attributes to you. People will judge you... people you often would not expect. Sometimes, even people who are fine with the mohawk may assusme you to be someone you're not. I had people get mad at me after I told them I didn't smoke...
"Can you give me a cigarette?"
"Sorry, I don't smoke."
"Yeah, right! Cheap %#&@*! Can't spare a *#@&* cigarette!"
"No, really, I don't!"
"*%#$ off!"
It's not fair or right, but it still happens. I had security in stores follow me while shopping (I never stole); a teacher who accused me of cheating (I didn't). In hindsight, I'm sure I scared away many folks who shared my other interests, such as animals and nature, but were too intimidated to get to know me. At the time, I thought that people who judge based only appearances weren't the sort of people I wanted to hang out with. On the one hand, that is a very valid argument. On the other, people are fallible, and have a hard time being fair when they are, rightly or wrongly, afraid.
La Roux reminds me a lot of the New Wave bands from the 80's. I've had various New Wave haircuts through the years and they didn't seem to cause nearly as many issues as the hawk. Perhaps if you Google "New Wave Hair" images, you might get a few ideas that are "creatively different", but not as threatening to people. Here are a couple of bands from that time who had hair that you might find interesting.
The Thompson Twins
Hear is a video of Alison Moyet during her "Yazoo" days. (Love her voice..couldn't just post a picture!
The audio for the synthesizer is bad in this video, but her voice is great as ever.)