When its new the SR+ should be fine for this drive, but what happens when you've lost 29% of the battery capacity and your predicted 250 range has now become 177?
Justsomeguy has the right idea, but I'd take it a bit further... don't charge at all until the amount of time needed before you leave, and get the HVAC to turn on 5-10 minutes before you leave.
If you happen to have an android phone, "Smart Charging" can do this...
https://sg57productions.com/dashboardfortesla#advanced-charging , but be aware the 'scheduled" feature of this is relying on your PHONE to start charging, not the car. I haven't used the smart charging feature, but I have scheduled timed HVAC turn-on and had it fail once or twice. That's not really a big deal if you have to live with a couple minutes of cold commute, but if you get up and your car doesn't have enough power to get you to work, it could suck. You can also do it by scheduling the car to start charging every night at the same time, using the car's built-in interface.
And as another poster said, you can't hope to do this on a 120V outlet...even 16 hours on 4mi/hr(best case, in Summer!) won't remotely charge the car for your next day, never mind doing it at 10F with the heat running! Because an SR+ has only a 32 amp built-in charger, you'll likely need ~10 hours of charge EVERY NIGHT, and that's assuming you are charging on a 40 amp circuit(delivering 32 amps to the car)
TBH, I'd get an LR RWD if they are still available, or an LR AWD. So much more capacity and charge speed.... do you ever do ANYTHING besides drive to and from work every day? A side trip to the grocery store might get extra exciting if you don't know if you'll make it home.