It seems more like a classic case of refactoring except that the original infrastructure is paper-based, in which case the ideal digital redesign would be one that mimics the paper-based one precisely so that "regression testing" can be performed and components can be swapped in piecewise. Once enough components are digitized, the system as a whole can begin to be molded into more effective forms. This would have to be the plan at the outset, since it would require preserving enough flexibility.