God knows tbh, but basically without HDCP getting a (constant) picture through HDMI/DVI on the PS3 is impossible without a HDFury adapter. Could try an unofficial VGA cable possibly? Though having no experience with them i can't comment on how good they are.
[EDIT] On the split second picture issue, i'm not an expert but when you connect to something that requires HDCP, the HDCP device sends something called a 'handshake' that must be replied to before the picture will display. Maybe the image data is being sent for a split second then the handshake times out and it disables the output.