These kinds of rules are usually enacted by people who have lived in a city for a long time and always parked on the street for free. There's some new development and all of the sudden they can't find a space. So they push through rules that force new development to include parking.
I'm sure you have come to some other arrangement but holy shit that would be a lot of time spent travelling each week. It's worth working out how much time you need to spend at work to pay for the fuel, maintenance, and depreciation involved because that is essentially also 'travel time'.
edit: Even assuming an average speed of 50km/h that is about 16.5 hours each week. Including time spent earning the money to cover the associated costs it's going to be over 20 hours.
My average highway speed while commuting is 75 MPH. 90% of my commute is on the highway.
Commuting also means i can afford a home in a one third acre lot, with plenty of backyard for my kids and their dog to play in.