You could use the conky-cli build (without the X dependency). You could then run it and pipe the output into some file that you serve statically. Hmmm may spend some time investigating.
To follow up with this. You could add `conky -c json.conky | while read json; do echo $json > /opt/http/monitor/info.json; done` to your start. Then just static serve the `info.json` file and it should update at whatever interval you set for conky. No dynamic execution though (hard part is that lack of interaction).