Are you sure this was Penguin and not Panda? Did you actually get a penalty? I would really make sure you are dealing with a penalty before you put all of this work into something that it doesn't necessarily need.
If you are experiencing a loss in traffic and impressions and keyword rankings without an actual penalty I would run a new SERP analysis and find out what kind of competition is kicking you out of your top spots. With two major updates just rolling out in Sept/Oct there is a chance that your site was not penalized but being outranked by better sites. With the way that Penguin works, you can be suffering from another sites Penguin 2.0 recovery.
Do you update your content regularly? Is what you have on the site truly unique and informative? You said you are going through a disavow right now, that could definitely effect the rankings and search traffic.
Before you decide to completely abandon ship and jump on a whole new site, make sure you are truly dealing with a Penguin penalty and not just mediocre on page SEO coupled with a weak link profile.
If you truly feel moving domains is the solution, then I would select a domain completely unrelated and unattached to any webmaster property that might have a Penguin penalty. Select a domain with some age and that is clear of any nefarious link profiles. Use OSE or Ahrefs to investigate before you buy. Keeping things unrelated will be the best way to ensure you have no negative link juice following you around.
Is it possible that one of your link sources suffered a Penguin Penalty? That could really effect your rankings. 3.0 really targeted link neighborhoods. You could have back links that have terrible link profiles and are now causing you grief. Use OSE or Ahrefs to kind of check your link profiles back links. I would start here if you have no actual penalty.