I think you are on the right track here.
Whoever looks after your automated build process needs to have a fundamental understanding of how your solution fits together. This doesn't necessarily mean knowing how to write code or architect solutions, but they will require a solid understanding of how the solution compiles, packages itself etc.
You might need to share responsibility for builds between people or teams to accomplish this. I'd say that a daily build is a "team responsibility".
I'd look at establishing a baseline build configuration which can be extended for "special use" builds (besides just building a release version), e.g. internationalized releases, fxCop/Quality Tools config, build + run Unit Tests, continuous integration builds, a build config to run on developer workstations, etc.
Instead, I'd aim to achieve the following:
Automatic versioning, signing etc
Ability to produce verbose output (logging) to help debug build breaks
On that point - it should handle errors properly, capture as much information and log it properly
Consistency - It should work the same way each time to produce repeatable outcomes
Run in a clean, limited access environment
Well commented/documented so that it can be understood by new staff, etc.
Option to generate release notes, compile metrics, produce reports (if this option is available)
Ability to deploy to multiple environments
Support different ways to obtain source code from source control, e.g. by changeset, label, date, etc
As for tool recommendations, I've used FinalBuilder, Visual Build Pro, MSBuild/Team Build, nAnt, CruiseControl and CIFactory plus and good old fashioned batch files.
Each has its pros and cons, I'm not going to make a recommendation except to say that the products with decent UI support were a little bit easier to work with, but at times were far less powerful. If you're working with VIsual Studio, MSBuild is very powerful, but has a somewhat steep learning curve.