Hit the 2,100 parameter maximum limit

This long form of a survey site has hundreds of questions driven from the database and each of the questions have 12 options to choose from, some radio buttons and some check boxes.  The form has been working without a problem until a very patient user checked almost every possible options available for selection.  It created an ugly error that says ColdFusion can't process more than 2,100 parameters per execution.

I would really appreciate if I could get some advices on how to solve this problem.  Becuase of the format of the survey, splitting up the page into pieces is not a desirable choice.