Having an Aristotelian-Thomistic metaphysical framework, the “mind-body problem” is not really so much a problem. Once you grant that things have telos, then there is no special problem in saying that a thing displays intentionality. After all, stones fall to the ground, and the brain thinks through to thoughts, etc. The mind is just a specific instance of final cause, and it’s only a problem for those metaphysical frameworks which are based on the rejection of final cause, e.g. modernist, mechanical materialism. This is also why, when explaining final cause, such types also think that you are attributing mental properties to non-mental things, because they (implicitly) only recognize finality in the mind.
For scholastic types, on the other hand, the paradox really only seems to be this; things which are understood especially in terms of their final cause also display other ends which aren’t their definitive ends. For instance, a stone falls to the ground, and that’s all a stone is at bottom; just something that falls. But animals also fall to the ground, but this is not the final cause that makes them what they are. That they fall is just because they are animated bodies expressed in matter, but that isn’t in virtue of their animation, but something incidental. The matter is just in order that their life might be expressed, as it were, like a written word is to its meaning.
Likewise, the brain is in order for the mind to be “embodied,” or to have expression in the world, to be made present, to be made real, etc. Not really a special problem deep down, only a sort of paradox. Why do things need to be expressed materially at all? After all, if there exist immaterial forms (e.g. angels), and we even want to say that the mind is partly immaterial (in order to be said to have a real interaction with immaterial thought; more on this later), then it seems the only reason for material embodiment is in order to express it materially. But this doesn’t answer why it should be expressed materially in the first place!
Well, actually, I can think of some sort of answer. All material things are changing; matter is the principle of change, after all, so there must be something peculiar to human minds that we would want them to be changing. Change is necessary for growth, and growth seems a justification to this; so we must conclude that the mind-brain problem, construed scholastically, comes to this sort of answer: we are material in order to grow, and we grow because that is a necessary element of our attaining our end.
Really seems to put oomph into the words of Keats that “The world is a vale of soul-building.”