Now that you have learned a lesson of 'Not to mess with Big G', its time of thinking 'How getback your Adsense account?'. If you are thinking of applying Google against termination of your account and reactivate it, drop it, its 'One in a million' phenomenon(unless you are damn sure, you are that one in million).
But don't get disappointed, by thinking of losing your main(and sometimes only) money maker. Though you can not activate you banned account again, you can certainly apply for the new one. Now you may say that Adsense ban's the name of the banned account holder, so that he cannot re-register with same name, I agree(though I've never tried it, got banned once). You can always apply for Adsense account in the name of your spouse, parent, child(if he's major) or friend. And this is the best option I think for banned Adsense accounts.
You just have to put different name than your's and the address can be the same. If your site's good you'll get approved without any difficulties. If your site is not good, try some guys who offer Adsense accounts for $8-9. They create Adsense account with your name and address, but put their site. Its simple.
As far as Adsense alternative are concerned, there is none near to Adsense, so drop the idea of giving Adsense alternatives a try.
If you've some other methods of dealing with banned Adsense account you can leave it as a reply.