Do you have the SQLite.Interop.dll
file in your modeler directory? There should be one in the /modeler/x86
and /modeler/x64
directories.
If they are there, then I'm wondering if perhaps you have an incompatible version of SQLLite.Interop.dll
registered and getting loaded instead. Can you remove the SQLLite installation at C:\Program Files\System.Data.SQLite\
?