Here's the best tip of your life.....you owe me a beer.
For years now, I've parked in the Old City (free beside Barley's or pay a couple of bucks across the street). There is a trolley right in front of Barley's Taproom that will take you right in front of Neyland, a short walk to the tailgates there or the Strip. It's a whopping $4 round trip and they pick you up right after the game where the buses do but you won't have to wait 1/10th as long. Or you can sit, drink watch the other games in the Old City....have them drive you from a bar to the game....and back to a bar. Best kept secret in college football IMO.