Do I need a network camera or other type of camera for this?

At my church, we have a baptismal just behind the stage. Its not a large church (About 150 people weekly), however, when there is a baptism, it is rather hard to see the person. At a meeting tonight we discussed many things. One of which was how to put the baptisms up on the projection screens through a live feed. They had attempted to do this once before and found a latency in the video and the actual thing. I understand that a very slight and possibly unnoticeable latency in video is to be expected, however their old camera and wireless setup at the time was entirely G. The network has now been upgraded to N/N+ and the offices and meeting rooms are AC. Our auditorium is currently in the process of the switch to AC but thats a side note. Anyway, we would like to use some sort of camera to record the baptism, broadcast it over the Wi-Fi to our media computers where it can be put on the projection screens and TVs. Would we need a network camera? We mentioned network cameras, security cameras, and even a simple baby camera was brought up. I like the idea of a network camera best, but we need it to look professional to have it on the big screens. Any ideas? Cameras that would be best? Software for doing something like this? Our budget for this thing isn't huge. No numbers were mentioned, but anything under $120 in total sounds good. Thanks!