Well first even if the fan is stuck on you will still get to normal operating temperatures because the thermostat only allows coolant to flow if it's 195°F or over. You could probably just pull both fan relays if you'd like because they should never turn on in the winter unless you do some serious bumper to bumper traffic. (if it's too cold to work on it now) For finding the issue, you may want to see why the relays are getting power by tracing the wires. Hopefully it's not the PCM going bad.