The word that best completes the sentence is "fanatical."
The completed sentence would read: "Some of the team's fans were fanatical and spent incredible amounts of time and money following them around the country."
"Fanatical" describes fans who are extremely enthusiastic and passionate about their team, which aligns well with the context of spending a lot of time and money to support them.
The other options do not fit the context as well:
- "Flagrant" means something that is shockingly noticeable or evident, often in a negative way.
- "Fatuous" means silly and pointless.
- "Feline" relates to cats.
Therefore, "fanatical" is the most appropriate choice.