3DNA per se does not provide a prescription "to bend a big DNA smoothly". How to choose roll angles to fit a smooth curve is problem specific; 3DNA is mechanical and rigorous in that it constructs a structure corresponding to the parameters you fed into "rebuild", or (reversibly) it can "analyze" a given DNA structure to provide parameters that fully describe its base geometry.
As mentioned previously, and made clear in the 2008 3DNA Nature Protocols paper, the various prescriptions of roll-introduced DNA bending in Figure 3 are based on the classic work of Calladine and Drew. That protocol was intended to illustrate 3DNA's capability of building structures, in schematic representation, based on user-supplied parameters, not to show how to derive roll angles for any desired DNA bending.
That said, 3DNA is handy for constructing and visualizing a DNA structure in three dimensions to help verify if a roll prescription fulfills one's assumptions -- seeing is believing as well as understanding. For example, by noticing a bend structure in zigzag type, you immediately realized that your roll parameters (as sinusoidal) were not chosen correctly.
There are literature publications on how to fit a smooth ribbon to curved DNA. Pubmed or Google Scholar is your friend; it helps if you could share your findings.
HTH,
Xiang-Jun