Maybe Iridium is what you're looking for. From their fp:
> Iridium is a free, open, and libre browser modification of the Chromium code base, with privacy being enhanced in several key areas. Automatic transmission of partial queries, keywords, metrics to central services inhibited and only occurs with consent. In addition, all our builds are reproducible, and modifications are auditable, setting the project ahead of other secure browser providers.
https://plus.google.com/+JustinSchuh/posts/69qw9wZVH8z
Maybe Iridium has a better record but with so few eyes on them it's hard to have much confidence.
Probably the best thing to do if you're worried about Chromium spying on you is to use Firefox.
Uh, what?
>Chromium is an open-source browser project that aims to build a safer, faster, and more stable way for all users to experience the web. [0]
http://blog.chromium.org/2008/10/google-chrome-chromium-and-...