What are my other options?
75volt to 264volt AC relay.Doesn't work for DC.Depends on what you are trying to do, which you didn't tell.Leo..
As stated you could put your current SSR in series with the input of the powersupply. However I think turning it on 6 times an hour for conceivably a long time will likely reduce the life of the power supply.It think it would be better to switch the 12V DC side. For a suggestion we would need to understand the load. A simple mosfet could work well but your load might need to be isolated. Again it depends on the load.John
Solid state relays are specific to ac or dc. If on the dc side you need the dc type like thisSSR-100 DD Solid State Module Solid-state Relay DC-DC 100A 3-32V DC/5-60V DC
Maybe you should skip all that and just buy this.