I hate Wordpress. Blogs get hacked all the time, comments suck, and a variety of other things make WP a huge turn off for me.
But there are things a blog lets you do that you really need to be doing to give your site more traction in the search engines.
So the best solution is to create a regular, static html site and then create an rss feed page for the site. You can do this manually or google "create rss feed" and there is software (free and paid) that will do this for you. Personally I think it's better to do it manually because then you can learn how to add the exact blurbs of text you want to appear in your feed. But automating this works too.
After you have an rss feed set up for your site you can do things like ping your site every time you've updated, subscribe to your own blog at yahoo or google or msn to get a new site indexed fast, add your website url to top blog directories (which are usually showing up on the first page of Google right now for many keyphrases)....plus you can submit your feed to rss directories for easy backlinks. Basically your site becomes a blog in Google's eyes after you add an rss feed to your html site and you'll even show up in Google's blog search results.
People can subscribe to your feed just as they would with a blog so they can be notified up updates, etc. But you never have to deal with lame comments and stuff.
I do all my sites like this now - hybrid sites. Created in regular html with an rss feed page created just for that site's content.