I need some clarification here. I see the 3I's as not goals but I's. The goals, I see, are to first choose between hitting or swinging. The second is to understand the relationships and how to apply force. The third would be educating the hands. The fourth finding a pattern without compensation.
Heck, I don't know where you exactly are in this process, but those Imperatives relate to impact and must be goals in mind for choosing components to get you there, or their execution. In constructing your machine, you want to it be on plane, efficient and having proper impact. That MAY entail educating the hands, and selecting reliable procedures and practice.
As far as the swings which have no maniuplations, the book lists two reliable procedures to consider. Beyond that there are others, but ...folks often choose something like a grip type which is fairly incompatible with their grip action, or an ebow position or arm motion which is incompatible with releasing their accumulators the way they have in mind. But do take a look at those lists in chapter 12.
You obviously have a procedure of some sort now. I think there are other threads on deciding whether swinging or hitting would be better for a given golf. I think Brian advocates swinging for most people (who are quick), and hitting for those who aren't able to swing.
However, keep in mind you may wind up liking a procedure which has some compensations. And for that matter, hitting draws and fades, probably has manipulations involved (like bending the plane line). So they are not ALL bad.
I generally use a procedure until laziness enters in and something wrong starts happening, and so I search out a solution, find it and refine things into a new procedure. Sometimes this is swinging and sometime hitting. I am currently hitting*. If you aren't real sure which way to go, learn each basic procedure and see what works well enough to use in play.
* though not with 100% angled hinging.