On the G3 AIO, there is a separate cable to carry VGA video from the graphics card to the monitor, which means you can modify a different PCI card by soldering a female IDC pin connector through ribbon cables to the right solder joints of the VGA connector, in order to connect it.
For the 5500, it's a bit more difficult but not impossible.
Looking at
the schematic of the 6500/5500/TAM board, the signals you need to tap into that go from the ATi chip to the edge connector are red, green and blue video, HSync, VSync, Monitor ID 1 and 2, and ground.
You can see in the schematic that at least for the MonID and sync signals, there are resistors you could remove to sever the connection, which you would solder wires to going to an IDC connector on the side of the resistor that connects to the board's edge connector, with wires going to the same VGA signals on the installed PCI card (for the right ID signals, it's MonID 1 to VGA Pin 12, MonID 2 to VGA Pin 15).
The problem is that I don't see any resistors or such on the R, G and B lines going from the ATi chip to the edge connector, so the only option would be to sever traces and solder to the edge connector's solder joints for those lines, which is relatively destructive.
Another issue is that you'd still have the ATi chip active as the main monitor, which you now can't actually use.
You'd have to find a way to disable the ATi chip entirely (with the most extreme option being the removal of the chip, this is possible), which then also adds the issue that the TV and Video In will no longer work.
The Video In and TV signals go through an interface chip on the board to turn it into 8-bit digital video, which is the same as on a PC's graphics card's VESA Feature Connector, which obviously won't work if the ATi chip it's going to is disabled/missing.
It could be possible to also tap those signals off the board and feed them to the feature connector on the upgraded graphics card, if it has one, but it's getting
very complex at that point.
I actually plan on trying this on a 6500 board that I have, which will go into a PC case, as I removed the ATi chip specifically to steal its PCI resources to add back the ability to install three PCI cards into the system, specifically so I could install a better graphics card without losing one of two PCI slots.