I'm opposed to restricting mid-week traffic and strongly opposed to restricting pass-through traffic.

The restrictions on the more crowded weekend days should be simple and should not require a reservation. For example, license plates ending in even numbers would not be allowed in on Fridays and Sundays (except for pass-through traffic), while license plates ending in letters or odd numbers would not be allowed in on Saturdays and Mondays. Another option for those days would be having something similar to the Devils Postpile restrictions - cars are allowed in before 7 AM and after 7 PM, but not in between those times.