Sounds right to me, remove the bottom plate (easy) and paint it, mask the top plate and paint it.Unless your interior is pristine (opposite of mine), I would consider spray painting it in place.
The overspray can be controlled through judicious use of masking tape and plastic sheets. A light coat goes a long way.
To me that's a lot easier than crawling under the dashboard and whacking my head on the steering wheel 25 times.