Is there a powerful exam template that doesn't require an engineering degree to use?

So, you want LaTeX without having to write LaTeX. The solution? Write a LaTeX code generator!

You don't seem to have many different kinds of questions, so your user can input them through a form, similar to how Google Docs works. Then, compile. Last time I tried, MikTeX was pretty straightforward to install on Windows, and it will automatically download necessary packages as needed. Another alternative is to offer it as a webserver.

For LyX, I created my own, improved exam.layout (available on GitHub) that uses LaTeX's exam class and it's working well (although LyX does have its quirks).

It's documented in exam_layout_doc.lyx and a sample is included as sample_exam.lyx.

Here's an example from the cover page (based on the Exam Class samples in its documentation):

... and some questions:

Not all Exam Class features are supported, but a lot of things are doable from LyX with my layout file.