For the most part, nothing compares to Adsense in terms of ad variety, ctr and click rates. With that said you may want to try SearchFeed's service or Kanoodle's BrightAds. Brightads is very similar to adsense (but based off of Kanoodle's network which has less advertisers and lower rates for many terms); searchfeed's service is not really contextual as you pre-define your search terms.
As a general rule, while you may not be committing fraud, if you are doing things like signuing up under multiple names you will certainly be banned and if you cross a certain line, you may find yourself in court. Once you are terminated from a program you are no longer welcome to participate as per your original contract -- trying to sign up again is not exactly what they have in mind and not a good way to get back in. If you want back in you need to politely and professionally email Google, ask them what went wrong and how you can remedy the situation. If they don't respond positively send them a written letter requesting access to the program. That's how you do business.