Free State Brewery is a good call. Get a side of Cheddar Ale Soup with whatever you order, and have a few beers there.
You may be terribly disappointed by (Louise's) West, if you've never been there. It's an old, small, dive bar. They do make a pretty killer bloody mary, though.
I don't know anything about the Grove, but I can't imagine KU's tailgating compares to anything in the SEC. I will say that, when KU is good and it's not an 11:00 game, the tailgating can be pretty damn fun. But when the team is bad, students just keep tailgating instead of going to the game. So it doesn't seem to be as lively, because a lot of them are hidden in houses instead of in huge lots, but they're out there drinking.
Parking will be $10-$20 depending on how close to the stadium you want to be. Stay on the East side of the stadium if you want to go to the Wheel. It's another dive, but it's a fun atmosphere. I've never been to the Hawk on gameday - I've always heard it's a good spot - but you'll be the only person above 19 years old if you go there at any other point.
It's nice that it's a 6:00 game, that'll allow lots of time for tailgating.