I think if you have a $10K project and you know that you are going to be really, really tight on resources, you don't skimp on the build process. Rather you back up and choose tools that are proven and reliable. If you can't get your 1 click (or equivalent) build process up an running in a day for a $10K project, then you have selected tools that are much too risky. That's my 2 cents, anyway.
Another advantage of a "one click" build process is that it documents, perfectly, the product. What lives where, maps to what and how, how each element is configured, etc. That "one click" is your way into the whole project.