I also don't understand why you need any parameters in the drawing itself. The drawing can easily and automatically display all the parameter values from the model. If you're not using a PDM system, then there really isn't any reason for the drawing itself to have it's own separate parameters.
If you really want them to exist in the drawing and match the model, then just create a drawing template that already has the drawing parameters defined and contains a drawing program to keep the drawing parameters synchronized with the model parameters. It's even possible to build a mapkey that will automatically create any parameters that are missing in the drawing and then automatically create the corresponding drawing program to keep them synchronized. (I have one we use to use that does this exact thing.)
What good does it do to populate the drawing (file) with parameters if the tables on the drawing are all displaying parameter values from the model? Why do you need separate parameters in the drawing?