Wasn't going to reply to your post because I didn't personally experience the on-field deal at the spring training games. DH and I lived in central FL for just over 5 years and went to many spring training games at Wide World of Sports. We actually got small packages of tickets each year.
We always went early for the games to get a good parking space, have lunch, etc. We often saw the people on the field waiting to get pictures or autographs.
My own observance was that if you weren't there VERY early, you'd miss the Braves batting practice completely. I don't know what time to recommend you be there -- unless purchasing the pass got you definite information.
We always ended up watching the "other" team take batting practice. So if the other team is the one you're interested in, that would work more easily.
Maybe someone will reply. We also noticed that a lot of the team members who would stand near the dugout and sign shirts, balls, etc. that kids rolled down the dugout roof were the less well known players.
May have been coincidence, but we know the Braves players well -- used to know them even better. And we knew the regulars by sight.
Good luck and enjoy the game. It's one of the things we really miss, in addition to Disney. Loved the spring training games. It's a nice stadium and the games are a lot of fun!
