Love the Central Market car park. Actually come to think of it (as I will be coming in from the north) I will park in a random unrestricted street in Prospect and catch and Uber to the ground. Silly me never thought of that.If you're not having luck finding a free street park, the Central Market Carpark should be a dependable option.
Night parking rates apply if you go in after 6pm on Thursdays and costs $7 (until 6.30am). Can then stroll out to Vic square and catch tram to railway station.
https://adelaidecentralmarket.com.au/parking/