I am not an elite player...in my 60's.. beat this on my 2nd try. Strategy...
Goal 1.) Play the two All Star games 1st, then the 6 HOF, finally the 2 legend. This will let you get used to the timing of the pitches and not have to switch back an forth between the levels.
Goal 2.) Steal fans from the last team you must face on turn 2. This will guarantee that you play all the remaining games on All Star or lower levels.
Optional - Stealing after turn2.. It will let you play games on veteran, but losing will make it tougher.
Team make up - Speed/contact with contact/power mixed in. Being able to steal 2nd and 3rd on legend is a must. Have SPEED on the bench