This is a very complex situation.
I am a very emotional person and stories like this touch me. I've known you long enough to believe what you say and I believe you have many friends that feel the same way here too.
One quick solution I can think of is to have a video or picture collection story of what you're talking about and make a special post stating how much you target raising in Steem for the purpose and state that this will be done for 4 week (month) or when the fund target is reached i.e. if less than 4 weeks.
The special post will be done weekly to update donors and intending donors of the status.
So the donations received and the special post payout + curation will forms what is given to your close relative.
Like I said, I am an emotional person and just speaking out of what come in to my heart to speak at the moment. It may be a great idea and it may not and I don't know how the community views this because any down voting will definitely defeat the purpose for which this humanitarian gesture is meant for.
Good luck my dear. Keep me informed though of what ever action you decide to take. Cheers.