Learn English – Human vs Person

Here’s what ‘The Cambridge Guide to English Usage’ says:

There are loftier principles in humane, and a humane approach . . . connotes compassion and concern in situations where others might react harshly. The reactions implied in human are much more down-to-earth . . .

As for your particular instance, human touch is the more ususal expression. Touch collocates more frequently with human than with humane. In the Corpus of Contemporary American English there are 122 records of human touch against two for humane touch. The British National Corpus figures are 19 and 0.

Corpse and cadaver are both medical/legal terms for a dead body. I would not call them degrading per se, but perhaps dehumanizing, and that is not necessarily for ill intent: we use clinical and legal terminology to be precise as well as to avoid emotional or cultural connotations of alternative terms that can be a distraction (e.g. pinna as opposed to ear, vertebral column as opposed to backbone).

Although cadaver is the older word, it has come to refer in particular to a dead body used for medical or scientific purposes, for example, for medical students to dissect, while corpse is used more generally. I do find corpse to be somewhat more evocative than simply dead body, as it brings to my mind an embalmed dead body, or the reanimation thereof, but that is likely the fault of too many zombie films.

A more elevated alternative would be remains, and remains which have been elevated for religious purposes are termed relics.

If on the other hand you did want to disrespect the dead, you could call the dead body a carcass, the word for a dead animal body used for food, whether processed by abattoir or buzzard. Etymonline says it is "not used of humans after c.1750, except contemptuously."