My DH and I have gone to a Buccaneers game for the last three years, when we've been in WDW! The Bucs are my team (sad to say) and I don't get a chance to see them often here. We'll be there on November 9th!
The stadium is only about an hour away so easy for one day. Every time we've gone, we've driven our car, so I can't comment on shuttles (I didn't even know that was an option, actually). Driving isn't too bad and the stadium is well-marked. It is crowded getting out after the game but that's normal. One year, we booked a hotel room in Tampa and walked to and from the stadium from the hotel. This is a great option if you can do it.
The stadium is in the middle of giant fields which they use as parking lots for game day. Parking is about $25 but that's what we'd pay in Detroit for a Lions game anyway. We try and get there for when the lots open (I think at 10am? Check the Buccaneers website). We walk around and look at the tailgaters all set up in the fields. There is usually stuff going on around outside the stadium before they let you in.
For tickets, we buy on Stub Hub, usually last minute. Last year, we paid $70/ticket for 50 yard line seats because the Buccaneers were so terrible

They were the best seats I've ever had at any sporting event. Knock on wood, we have purchased lots of tickets from Stub Hub and have never had a problem.
Have fun! I love Raymond James Stadium! Hopefully you'll have nice weather, but at least it will be better than an outdoor game in Green Bay in December! Let me know if you have any other questions!