If you aim to have a web presence, you've got to have email. It's a convenient way for potential customers and clients to send you a message, Word document, or other files. Thankfully, most web hosts include email in the price of their hosting plans. Some web hosts offer unlimited email account creation (which is great for future growth), while others offer a finite amount. You, naturally, should want unlimited email.
I agree with you that Pulse CMS offers an interesting way to go, without databases. Before moving all my sites to WP over the past two years, I had always felt reluctant to use databases: but testing WP had convinced me to go ahead. Although I do not use it at this point (I played a little bit with previous versions), I bought a Pulse CMS license, if only in order to support that interesting project. I do not rule out using it for a site some day, at least experimentally.
Almost all the services offer some sort of drag-and-drop website builder that makes it easy to drag and drop items to build your page. These are great for getting started, but they often lock you into the service. Most website builder setups are proprietary to the service, or don't create HTML that's portable enough to be easily moved to another service if you decide it's necessary.
Why? Because word of mouth only gets you so far in the internet era. People discover new businesses—even local business—via Bing, Google, and Yahoo. The days when they'd just look you up in the yellow pages are long gone. If you don't have a sharable website address, your chances of building online word of mouth via social networking plummet, too. In other words, no website, no discoverability, no money. Of course, web hosting isn't just for businesses. You may want to host a personal website or blog, too. Either way, the services here have you covered.