[1991Twins]

My historical season that I tested was my 1990 quickstart. I chose this because it was before expansion and the rise of the steroid age. I figured a good contrast to what we see now. The findings of the 1990 test (using andyhyz's idea of 5 extra rounds of players that don't get to be drafted, I stayed with the standard 35 rounds of draft picks with 40 rounds of players created) were:

1. 19 of 26 1st round picks were hitters (including the top 8); I had not seen this before this test.
2. Oddities included the Detroit Tigers drafted 12 catchers, the Baltimore Orioles drafted 11 catchers, and the Royals drafted 9 catchers. The Padres drafted 16 relievers.
2. Position players ran out in round 27

Conclusions:

1. It seems talent level in current MLB dictates upper end talent in the draft (a league with elite starters will generate elite hitting prospects).
2. Teams seem to strangely fixate on certain positions.
3. The draft runs out of hitting prospects at some point no matter what.