Well, that obviously depends on what you need. If you want a good blogging platform, I would suggest
Word Press (yup, another vote!). If you want something more powerful, with more functionality then go with
Drupal. If all you really want is a really simple piece of software that can edit your HTML files directly, try out
Surreal CMS.
I've personally worked with WordPress, Drupal, and others -- and I'm the developer of Surreal -- but I'm being completely objective in telling you that you really need to look at your requirements first and foremost before choosing a CMS.
Sometimes you need something quick and easy for basic editing, which is where Surreal comes in. Setup your site, link up the CMS, and hand it off. Simple. If that's all you need, have at it

Other times you (or your client) will want to blog on a daily basis. A flat-file CMS simply won't do in this case, so look to something that specializes in that. WordPress is my personal favorite. In fact, I'll be setting up a blog for Surreal within a few weeks which will probably run on WordPress. Another great thing about WordPress is it's community. They have amazing members and thousands of plugins and themes to pick from out-of-the-box.
Another option for a blog-based site would be to manage your main pages (the pages that don't change frequently) with Surreal and run your blog through Blogger. I've seen this done a number of times and most people that take this approach tend to be scared of databases. There are plenty of tutorials online to get you started with this. (If you do this, however, I would recommend using a subdomain for the blog portion of the site for security purposes...but that's just me.)
Drupal...well, I like Drupal and would choose it over Joomla and similar systems any day, but usually it's overkill. Yes, you can run a blog-based site off of it, but unless you have a lot of other things you're going to be doing with the site, stick with WP because it's easier to install and manage.
All-in-all, and based on your post (not wanting to code, wanting something as simple as possible), I would say that you're a pretty good candidate for Surreal CMS. You can get the site setup in a matter of minutes most of the time, and you don't have to know a lick of server-side code. Just add the "editable" CSS class to your HTML elements and edit. There's a couple
videos on the site that will get you started.
As far as search engines not liking blogs as much...well, I don't think that's entirely true. If you have good content, you can perform well with a WordPress (or other) site. Having good content will also increase the likeliness that someone will want to blog, tweet, or otherwise link to your page(s) so it helps two-fold. In essence, keep the quality high, keep the 1990s SEO "tricks" out, and no matter what platform you run, your site will most likely perform very well
