Voter News Service
For this data collection, interviews were conducted with voters in the 50 states and the District of Columbia as they left their polling places on Election Day, November 5th, 1996. Respondents were asked a series of questions about their vote choices in the Senate, congressional, and gubernatorial races (as appropriate to their state), and the issues and factors that most influenced those votes.
Full information about this study and access to the data are from ICPSR. Files available here are SPSS program files.