Han,
I sincerely believe that any, high-quality mixer that has individual EQs on each channel, will do the job--including the vocals.
I would, however, suggest that you purchase the equipment at a location that permits full refunds for returns within a prescribed time. Therefore, it the mixer, or the Z-2200 does not seem up to the challenge, pack them up and take them back to the place where they were purchased.
Personally, I sincerely believe that the Z-2200 will be more than sufficient for what you intend to do. Using a huge sound system in a small, 600-square-foot room is overkill. You would have to run it at low levels, which is not conducive to obtaining the system's peak performance level. Most sound systems perform best when operated at 50 to 65 percent volume levels. At 300 watts RMS, the Z-2200 would be pumping out a lot of sound, even in a room of this size with up to 60 guests.
If you purchase the Z-2200, I would suggest placeing the satellite speakers at a level of 6 feet or higher. This would put them above the head level of the average person and distribute the sound throughout the room.
I'm still trying to figure out how you are gonna' pack 60 people into a 600 square foot room. Hope they're all good friends!

Good Luck,
Gary