The Champs Bowl as well as the Capitol One Bowl are played at the Citrus Bowl Stadium which is a few miles directly west of downtown Orlando. I'm not aware of any practical way to get there via public transportation. While there may be Lynx bus service from the TTC that would ultimately get you to downtown, it's doubtful such transportatoin would still be operating after the game which would be late night.
Rental car is really the best choice. Rent one mid-day the day of the game and return it mid-day the day after the game.
Parking is limited around the stadium but usually on game days there is free Lynx bus transportation between the downtown Lynx terminal and the stadium. Parking in city garages downtown is typically a $5 flat rate. There is a large city garage on Central Avenue downtown, just east of I-4 and this is near the Lynx hub. If you want to take your chances and park near the stadium then you'd take I-4 from WDW towards downtown, exit onto TOLL 408 (East-West Expressway) WEST and you can't miss the stadium just a mile ahead.
BobK/Orlando