I don't have a problem with the idea of help to die if a person is no longer able to perform the act themself, e.g unable to take a fatal dose of something unaided, or to commit suicide by other conventional means. What I would like to see is an increase and use of advance directives, preventing life extending treatments that are of no significant benefit to the patient. Mine also requests adequate analgesia to facilitate peace in the process of dying. Not to end life although the doses required would almost certainly have that effect.
It is far harder in areas of significant psychological distress where a person may repeatedly express a desire to die because they find living unbearable. Do you struggle on with them in the hope of recovery or a new treatment coming along, maybe against their will ie under the mental health act, or assuming they have enough insight to satisfy an appropriate panel of medical professionals provide the means to a peaceful end.
I wouldn't want to travel to a strange place, to die among strangers, but if I had a degenerative condition I might face the choice of acting while physically able rather than when I was mentally ready.
You could solve the greedy relatives issue by making a law where those who chose this route are required to leave their estate to charity. Might dissuade those who want to die to protect the kids inheritance.