Adsense site banned, plan on redirecting site to a different url

So my adsense site was recently banned. One site, not the entire account. I fixed the problem and sent in an appeal, but I'm thinking of just making a new site, and forwarding my traffic from my old site to the new url. Good or bad idea? I get about 75% of my traffic from twitter and email referrals. So I could surely continue getting that traffic to my new website. But the thing is. I branded that name already and quite a few of my forum members already know it. Should I just move on and take the loss of the 25% of direct traffic that comes from that name of the original url... Or should I risk redirecting it?

ETA: I was banned for having adult images...Which was basically a relationship section with a couple in bed, and a woman covering her body with the bed sheet (I didn't show any nudity), but apparently that is "implied" nudity. I removed it from the site when they gave me a 72 hour warning message, but they found 2 similar images a day later and issued a ban to that specific site.