Parking meters cost $2.50 per hour and day rates range from $5 to $16. It’s less than commercial lots, which can cost upwards of $30 per day in San Diego.
Honestly, not a bad rate. But still, the fees should be set in order to not cause public backlash (or at least minimize it), since this sort of public backlash is what kills walkability projects. And they definitely shouldn't be imposed to create a new revenue stream to fund the park.
In the first year, the fees should be ludicrously cheap. Just get people used to getting out of their car and paying the fee. Then increase the fee modestly the next year, and then increase it to a reasonable rate the year after that. And after that, it can be used as a lever in specific lots to empty them, so they can then be torn up and used for something more useful than parking.
At the same time, transit in the area should be improved to ensure people can still get to the park quickly and easily.