Vegas2Handbrake automates the process of rendering with Handbrake and is popular with many community members for rendering AVC. By carefully following the instructions to add a 1 second buffer you can also compensate for the Frameserver audio bugs.
Instructions are included in the download. If you are using VEGAS Pro 14 then you need to make these changes to get Vegas2Handbrake working.
Since Handbrake 1.0.1 was released, you also need to make the changes described in this post. I summarize the situation in this comment.