We have played this scenario twice and I (playing the Confederates) have lost twice. It seems this is, as in real life, a pretty difficult if not impossible scenario for the Confederates to win. One interesting note was that during Game #2 we actually made it thru the deck and had to reshuffle the cards. We made it thru about 1/4 of the second round of cards.
Indeed...luck is needed.
The artillery barrage is just what Lee tried...and it didn't work for him either. I want to try the scenario again and try what Longstreet wanted to do...flank 'em. Don't know if that will work either...but it's fun to try.