FWIW, I am not a fan of running the cable under the garage door. Likely issues are:
- Crushing the cable
- Damaging the garage door
- Getting critters (mice, etc...) into your garage
You can protect the cable from crushing with wood blocks, but then you would likely need to adjust the limit switches for the garage door close distance/force, though again, it may damage the door to have it make contact only with wood blocks in one spot and not with concrete all the way across.
The rental complicates things, but if it was me, I would want a Wall Connector or receptacle (in water tight box) outside the house if that is where you are charging. I also would not want to plug/unplug the UMC every day if using a 14-50 receptacle and so the question is- How safe is your neighborhood to leave a $300 thing sitting outside? Maybe find a way to secure it?
I personally love my wall connector outside, but yeah, the rental sucks.
Any chance you can find a way to park in the garage? That makes this vastly simpler...
Oh, and if you leave and take your HPWC with you, you can just wire nut off the wires in an electrical box with a cover over it. Someone else later can install their own EVSE or receptacle on a proper sized breaker.
Note to fully make use of the charger on the car you want a 60a circuit or above if using a HPWC. Mine is on a 60a breaker.