Explosive remedy

Explosive remedy is a method of curing tumors, including cancer, primarily melanoma. Nuclear explosion is used as an idiosyncratic working mass for this method.

Overview
The Homelanders generall enjoy various explosions, but, unlike in case with the other possible species, it is not a sublimation of violent instincts.

They had cut them off right after uploading their minds, and before that, they used biochemical control to suppress violent impulses, instead of sublimating them.

Instead, they enjoy the transformation of matter and energy, various interactions between different atoms and molecules, a silent music of their split and decay. So when they encountered the cancer problem, instead of medical methods, they decided to use explosions to cure it.

Method
The Homelanders have a very advanced shielding system, that doesn't let stellar ultraviolet radiation to cause any harm to flora and fauna. But their organic parts are in direct contact with synthetic parts, which results in radiation poisoning and, later, in tumors.

For treating themselves, they made a special place -- a dead desert, free of any signs of life, so nothing will suffer from nuclear explosions and their consequences.

When it is time for cancer screening, the Homelanders go to that desert, while one of them prepares a nuke to be exploded. It generally takes several minutes at most.

Working mass
The Homelanders use hydrogen bombs with a very small nuclear bomb trigger, which results in a minimum amount of post-explosion radiation. Their radiation shielding system is used as well, although it's more like a plan 'B', because a nuke detonated far and high enough to prevent radiation poisoning.

Recently they switched to the same type of fusion reaction they use in asteroid mining: a hydrogen bomb, catalyzed by antimatter, resulting in relatively clean explosion.

They use the immense heat a nuke generates, to literally vaporize tumors and cancerous cells. To prevent themselves from any harm, the Homelanders reinforce the chemical bonds between atoms and molecules, deliberately leaving cancerous cells without such protection.