Actually, looking back at that draft...
http://www.drafthistory.com/years/1996.html
I know there is no sense looking back, but in addition to Alstott, the other choices available with that pick were:
35 Mike Alstott
36 Lawyer Milloy
43 Muhsin Muhammad
61 Brian Dawkins
80 Karim Abdul-Jabbar (just for the name)
86 Tedy Bruschi
89 Terrell Owens
154 Zach Thomas
though we did wind up with
13 Walt Harris