I agree, I immediately thought the business might have something to do with texting. Not being ugly, just being honest. I wouldn't pick a name solely on whether the domain is available. There are so few domains left out there, that if you must be able to get the URL of your business name, you are probably going to have a very weird business name.
One thing to think about is adding something like "call" in front of your business name when picking a URL. I know it might sound lame but I had to do that and it's not hard to remember and I've never had anyone turn their nose up at it or question it. Just a thought.