If you're trying to fly under the radar, I can't think of a more generic name than BUSINESS & CORPORATE SERVICES, INC.
Usually, at least in jurisdiction where this takes some time, companies will be pre-registered under a generic name and there's no real need to change it if you don't use it for trade.
It could be, but it could be not, so the "looks like" is very appropriate. Emilio Estévez may not be as common as John Smith, but it is not a very rare name/surname combination either.