It seems like you are in a very loud situation. How are you running the power amp? Bridged mono, stereo etc. From the specs I read from Ampeg that cab is either two stereo 8 ohm inputs or one 4 ohm mono input rated at 800 watts with a 100dB sensitivity. Running in stereo you get 600 watts and in mono 525 watts. You can bridge at 4 ohms and get 1550 watts but you would probably damage the speakers if you aren't really careful.
I'm also confused about "headroom" and "punch", is that with the fuzz turned on? In general those two terms would mean you have power to spare. When you start using distortion a byproduct of that is compression and heavy compression will diminish the attack and punch. A fuzz will really limit your dynamics.
Are the 3 guitarists using stacks. Mind you that the difference between 300 and 600 watts is 3dB which is not that great of a jump. To double the power of 300 watts you would need to go to 3000 watts and also more speakers.
Without being there I can only speculate, but it seems like you may be trying to get more volume via the power amp when you may need to add an additional cab. If the guitarists are using three 412 cabs which is twelve 12" speakers, your 810's will be no match. I really think adding another cab is the solution or turning the whole band down.