You are definitely on the right track with the detachable logo. We would like something where our clients will notice the shape or design or unique color scheme, regardless of whether or not they see our name, and know it is ours. We want the shape to identify us in our client's eye rather than our name. For example: everyone knows the ridged blue sphere is AT&T even without seeing the letters "AT&T." Everyone knows an Apple with a bite out of it is Apple Inc even without seeing the name.
However, we would like the "Classic Insurance" to be significantly more prominent than the "& Financial Services Co." While that part has to be on our name, we would be fine if no one remembers us for the "& Financial Services Co."