As you don't seem to need much of the features a Content Management System provides (versioning, publishing, collaboration, ...), I think that Template Toolkit with its ttree tool will be enough for you - it takes a whole tree of Template::Toolkit files, processes them, and spits out the results into new files.

The problem you have is now that you need to learn the Template Toolkit syntax and how to structure your templates. There is ample documentation in the Template Toolkit book, but for the simpler things, the documentation of Template Toolkit itself is sufficient.

Of course, this leaves you with the problem of pushing that data on to a webserver, but that is easily done by using rsync or simply scp, depending on the volume of data to be transferred.