If you already have a blog with Wordpress, then it would seem sensible to just add your whole site. I don't see what is that confusing about it? If you use WordPress, you will see that you can add either posts or pages to the site and that is what you do if you want a site - add the pages of your site.
I don't know whether the blog posts are on the front page of the site? If so and you don't want that for your website, you can just create a static front page instead - just create a new page for your blog and then all your posts will be re-directed to that blog page instead of the front page. You can then include that Blog page anywhere on your menu as part of your whole site.
Don't know whether you use Wordpress.com or .org, but if you want more control over WordPress, then I would suggest that you use WordPress.org and you can load that directly onto your server/host with one click installation, depending on what web host you use?
I would not recommend Adobe Muse - it is subscription based and you will need to pay every month. You CANNOT just buy it once and then use it, so by the time you have pad the subscription every month, you could have purchased it several times over.
Nothing has happened to EverWeb and Flux. They are still very much around and are being used and developed actively - Flux V is now the current version. Take a look at Flux at the Escapers site, but you need to know some html and css to be able to get the most out of this.
EverWeb is still going strong - take a look here EverWeb
Don't know whether EverWeb have added their blog yet, but they were developing it, but you can add a blog to an EverWeb site too and if you want to you could either add your WordPress blog as a link from that site or embed it into EverWeb itself using iFrame as you did with iWeb.
It is easy enough to set up your site with WordPress though.