Maybe the band name will simply "come to you" at some point. You know, like a flash of inspiration. All you have to do is keep your eyes/ears open and pay attention to your environment and wait for something that fits to come along.

Some friends of mine were in a pop/rock band together during the 80's, and were going through the same name search you're dealing with right now. One day, the lead guitarist/songwriter (Jeff) went out to see a movie with the second guitarist/keyboardist (Greg). The theater was part of one of those national "chains" of theaters, so before each film, the theater would run a short filmstrip which announced the chain name, advertise refreshments, asked you to throw away your own trash, and declared "no smoking". But the latter message was worded strangely. It said, "May we suggest that smoking is prohibited." Jeff said to Greg something like, "That's unusual syntax, don't you think?", and Greg realized that "Syntax" was the perfect name for the band. Jeff agreed, so Syntax it was.

So just watch and listen, maybe a phrase or a word will make itself known to you. You just have to watch for it.