I guess I should clarify: the monitor has a non-functioning line-out jack. When it did work, there was a significant delay.
As far as the cheap SCART-HDMI passthrough option goes, I do have one of these. I found that resolutions like 480i at 2x or 960i cause it to drop the frame rate to something below 30fps. I supposed this is because of the quality of the HDMI decoder/encoder in the box. I guess what I might need is a passive hardware. Perhaps a passive HDMI splitter to run to an audio decoder and a passive HDMI switch.