Unfortunately, Awesomium seems to have been in "lights on, nobody home" mode for over a year now, and uses an outdated version of Chrome. [1] The nail in the coffin is a predictably unfulfilled promise (see Yannou's rule #1 and #2) followed by radio silence: [2]

"The product is very well alive. Version 1.7.6 will be released in a few days with many new features and an updated Unity plugin as well. Meanwhile, we are also working on our next major version (v2.0)." Perikles C. Stephanidis, Jun 15

The other big problem is that it's not free. So nobody is going to pick it up and run with it.

[1] http://answers.awesomium.com/questions/6880/does-the-project...

[2] http://answers.awesomium.com/questions/7255/is-awesomium-dea...