The perfect balance? Lenovo's IdeaPad Yoga 11S is a combination of their Yoga 11 and Yoga 13, lifting elements from both to rebalance battery life, performance, and versatility. Was it worth the effort?
http://www.notebookcheck.net/Review-Lenovo-IdeaPad-Yoga-11S-Ultrabook.96315.0.html
I have been seeking a powerful 4th gen processor 11.6" screen laptop for travel use and not really getting near my objective, from your description this may be the one. Price/money is not a concern.