Made the circuit again, taking care not to have loose connections or bridging debris, and there was no change. The video output is very blurred and stretched out horizontally when the wiring follows the diagram for LMH6739 on that previously mentioned post, kind of like looking through a thick glass bottle. That's without the power connected. When power is connected, pulling 5 volts and ground from the pc's power supply, the screen blanks out.
When the discharge traces are wired to the respective inverting negative inputs, the screen blanks out as well upon testing, with or without power.
The power seems to be fine, measuring at 5 volts steady.
The vga ports are also wired correctly, and work when the circuit is bypassed.
I might try replacing the chip.