AutoCAD Inventor :: Importing And Constraining Vector Drawing

I have a vector drawing of a logo, currently in adobe illustrator format. I'd like to create a 2D sketch in Autodesk Inventor and then insert this drawing into the sketch as a shape that can only be placed and scaled.

The way I'd expect this to work is essentially that I'd get a rectangle X enclosing vector object Y, and that I'd then be able to create a fully constrained Inventor sketch by simply constraining the corners of this rectangle X. Is it possible to do something along those lines, and if so what is the best practice for it? 

What I tried, which failed, was this:

1. Converted the AI file to a .DWG file

2. Used the "Insert ACAD" command to place the file in Inventor with the Constrain End Points and Apply geometric constraints boxes checked (other boxes were unchecked)

3. Waited for a surprisingly long time for this operation to complete, maybe 30s on a 16GB 2.6GHz quad machine 

The result of this operation is that I now see my imported geometry, BUT all vectors are treated as individual shapes and I have 2637 dimensions needed.