Why not use optical ethernet as ‘real’ cross domain solutions do? Probably cheaper if you don’t mind eBay, and gives you an easy upgrade path to 10Gbps or more in future.
Two port NIC on the low side. Port 2 has its TX side connected to Port 1’s RX, just so the port will see a carrier and show link up. Port 1 TX goes to the high side machine’s RX, with TX left open.
From here, you have a whole ton of protocol options.
For things like syslog, you can just use a static ARP entry on the low side to forward events to the high side’s IP address via UDP.
For reliable transport, there are lots of options for reliable multicast now using erasure coding etc that don’t require a reverse channel.