Performance is most important for the first post/page that a visitor of 
your blog will request. Usually if the vistor like what he see the next 
pages are not so critical. But the nature of static sites implies that 
any dynamic elements of your install that reply upon WordPress plugins 
or internal functions to operate dynamically will no longer work. So 
why do you want lost all the benefit from dynamic elements like 
captchas when making all the post/pages static? Chose only the landing 
pages and let the other posts work as prior.
FlexiStatic create real static html-sites. So you can also give the blog 
page (start page) a performance boost whatever do you still use WP static 
page option.

FlexiStatic

Flexible make real static (html) posts and pages.

EdwardBock

Palasthotel

Pixelwelt

If you want to customize your taxonomie archive pages you can do this by creating a page and connect it with the taxonomy you want to overwrite.
This Plugin is reasonable to use with <a href="https://wordpress.org/plugins/grid/" title="Grid Landingpage Editor" rel="ugc">Grid</a>, so you can create beautiful pages for your topics.
<h3>Arbitrary section</h3>

Term Pages

Allows you to overwrite taxonomie archives with pages.

FlexiStatic vs Term Pages