If I interface with something such as the limited biological human body, eventually, subject to death, do my memories and perceptual powers lie within this body that will one day crap out? Or, instead, do my memories and perceptual powers fall outside of the human body being in something like an immaterial body?
I think there is a case to be made that from the Buddhist point of view an immaterial body survives the human body after death which contains all the memories and perceptual powers of the previous life with, perhaps, the exception of mass.
When in Buddhism we come to the subject of rebirth it is consciousness that is reborn which is dependent upon karmic impressions which in turn depends upon avidya or non-knowledge of true reality. (This is the inability to distinguish between the pure, unsullied Mind 性心 and the illusion mind 幻心).
We also need to be reminded of what is called the manomayakāya, that is, the will-like or spiritual body. It is mentioned in the Pali Nikayas, the Mahavastu, and the Lankavatara Sutra and perhaps other works of which I am not aware. In Mahavastu’s this body is called manomāyeṅ rūpena which is with a spiritual form. This is the body of the baby Buddha and is why the mother's body is not rent and why no pain ensues.
We could go a few steps further by suggesting that the ālayavijñāna, which is found in the Lankavatara Sutra and other Mahayana works, can be thought of as an abobe of conscious agents the ultimate substance of which is Mind. There is no physicality here—only these agents. From this abode or ālaya a discriminated world (maybe worlds would be better) emerges. Moreover, such worlds are totally illusory and empty, nevertheless, serve the heuristic goal of awakening these agents to their absolute nature which is Mind; which ends avidya or non-knowledge.
Fundamentally, we are all these immortal conscious agents which undergo the illusion of birth and rebirth amassing knowledge. Some of these agents are Bodhisattvas that are wise and beautiful; while others are small and you could say even evil. All together they create countless world systems which differ, yet, are the same in that they strive, ultimately, to realize the substance of the universe which is Mind.