Yes that is Relay output. You can still use the relay to power the SSR by connecting 12V to one side of the relay and connecting the other side to the SSR control line, using the relay to turn the SSR on and off. Alternately, you could use the relay with 110v to enable/disable the 220v AC contactor or power relay and eliminate the SSR.
With relay output you usually want to have a longer cycle time to minimize the number of relay on/off cycles. I use the same PID and use it in ON/OFF mode, element is on until the process temp is reached, then turns off. I don't have a problem hitting my strike water process temp using this mode.
If these options don't work then look for a PID with both SSR output and manual mode like the myPin TD4 or the Auberins PIDs.