smilingbee said:
Would require unplugging/plugging cords every time I want to use my dryer. I don't have an unused dryer outlet.
I wouldn't recommend unplugging/plugging that much. The correct solution is to have an electrician run a new 20A circuit terminated by an L6-20R outlet. If your breaker panel is in the garage, and isn't full, that shouldn't be very expensive.
If that isn't practical, and I was in your shoes, I might do something myself on the QT that is not according to code. I'd go down to Home Depot, pick up a surface mount box, an L6-20R outlet, and a foot each of black, red, and green #12 wire. I'd install that right next to the dryer outlet, leave the EVSE plugged into it all the time, and tell the family not to use the dryer when the car is plugged in. Worst case: If both are using power at the same time the breaker will trip. Hopefully the wet clothes will be discovered before the under-charged car in the morning.
Ray
P.S. Forgot to mention the cover plate for the box. But I expect the parts would still be under $30. As for meeting code, no, putting a 20A breaker in the car side of the circuit wouldn't do it. You still have the potential of 50A on a supposedly dedicated 30A circuit.