Are you looking for a team which played over a short time run, such as a travelling squad of players? Or are you seeking a team which represents a longer time frame? Here are some possible teams for consideration:
1) Tris Speaker and a team filled with his peers from his heyday toured the world, somewhat late in his career but while Speaker was still at his peak. I forget the year, but it was discussed in the recent biography authored by Gay.
2) A team filled with the best players from the Negro Leagues which played well against AL/NL allstars might qualify.
3) 1928-1932 Philadelphia A's.
4) 1972-1974 Oakland A's
I would be inclined to choose the latter, but out of sentiment I would be biased.
Catfish Hunter, RIP. Mark Fidrych, RIP. Skip Caray, RIP.
A fanatic is someone who can't change his mind and won't change the subject. -- Winston Churchill.
Experience is the hardest teacher. She gives the test first and the lesson later. -- Dan Quisenberry.