You don't need 200A to charge at home. I've got 150A service and have no problems charging at 32A.
Even at 12A charging at home is still pretty viable. 12A * 240V = 2.88kW. I'll round down to like 2.5kW for some charging losses, average at least 3.5mi/kWh, and that's 8.75mi of range an hour. 8 hours of scheduled charging and that's 70mi of charge.
Are you pulling over 100A of power at midnight normally?