That's an incorrect view of wordpress.
A couple of links on just using wordpress to create static sites:
https://www.designwall.com/blog/how-to-create-a-regular-static-website-using-wordpress-with-optional-blog/
http://www.bloggingtips.com/2010/03/12/5-tips-for-using-wordpress-for-non-blog-sites/
The theme that I use for my static sites is Divi.
It allows you to build your site using varied included components, custom code, and/or third party components. I've found it very useful for such- I've not found a site I couldn't create.
Some examples can be found at http://www.elegantthemes.com/showcase/, though there are several examples if you just look for Divi example sites.
The examples in the showcase are outdated, sadly. The only one I was interested in looking at was this one:

Yet the site itself resembles nothing like that anymore. I will have to consult archive.org for closer inspection.
EDIT: YES!
This is so close to what I'm looking for!
But I guess what I'm trying to understand is why create a static site anymore? What is the benefit of non-modular design?
There has to be a certain critical mass around programs IMO. Just having programs with no descriptions on a site, and nothing around them won't lead to people using them from my experience.
Well, I mean I'd have some sort of text describing the program, but not some kind of instruction manual.
Oh! That's because it's not a Microsoft webstack. It's composed of Apache Web Server, MySQL, PHP, Perl, Python and SOFTACULOUS. When you mentioned doing a website I forgot there are some people building them on a Microsoft host. My bad.
I'm not married to ASP.NET, but it is appealing to write the site in my native IDE. To be honest I should be learning PHP.
@40hz mentioned wikis (above). There are some quite nice websites that people have built that are basically just wikis. Wikis can be easy to set up and maintain, easy to provide a TOC (Table of Contents), easy to organise and index, and easy for the user to find their way around and read.
I've considered doing it Wiki style, and I have nothing against it. I just wanted to break some molds somehow, and I don't think a wiki would give me the "flair" I'm looking for.
.. it's quite simple to set up, there are a metric ton of themes (or you can design your own / have someone else do it, quite a few people make a living off creating WordPress themes), and there are also lots of plugins.
In my OP I do mention that I could pay someone to design my site, but I would know deep down in my heart it's not
my site. I will give wordpress an honest to goodness shot somehow, maybe find a nice EC2 I can pay for a few days and if I like it transfer it onto my main server and get rid of my Azure altogether.