So, I ended up focusing on other stuff today, but I'm going to try to work through some of the stuff I was worried about yesterday, really quickly.
There are several verbs that can be used in an aspectual sense, which combine with another verb to form the meaning. The meaning verb is in the infinitive form, then declined like a noun. Aspect verbs can be divided into "transitive" and "intransitive". Intransitive aspect verbs treat the meaning verb as an extension of the subject. Transitive aspect verbs treat the meaning verb as a direct(?) object.
The problem, then, is, what happens when the meaning verb needs an object? I could imagine a specific preposition for marking the "displaced" noun phrase, or the meaning verb could attach to the direct object somehow, rendering them as a single phrase. I'd be interested with the possibilities there, but I'll have to figure out how it works with relative clauses. I mean, it could be that the "transitive aspect verbs" basically act on a relative clause. I think that sounds interesting.
At some point, I'll have to take stock of how I've ended up doing things, since I've diverged pretty heavily in some respects from my initial drafts.
Anyway, I can't write any more tonight.