Our singer uses a Boss VE-20 Vocal Performer, mainly because we don't have a dedicated sound engineer who would know when to add some delay etc to the vocals in the songs. It has the effects that you said you need (and also the ones you said you don't need) and is flexible regarding output configuration. Phantom power on board. The box can run on batteries. Apparently, it doesn't have the really high end studio sound like e.g. the more expensive TC Electronics stuff (or maybe we just didn't tweak it enough), but for us it was definitely worth the money.
There is a looper uncluded as well, which is not very practical for live performance, but good for soundcheck purposes (you just loop a phrase and then tweak the sound to your liking).