Wbrz (BR station) news app said rain has shut down some lots. So parking may be worse than normal.
I can't tell you a specific area to park but lots by the levee often allow easy access to river road. Have to make sure you don't park too far south though. Lots on north side are directed north and can't go south. And opposite for lots on south side
Be very careful parking in the residential area bn downtown and campus (esp along highland) Crime is bad and may be offered a pay spot on land the lot "attendant" doesn't own