Hrm... it says good health, but doesn't specify as to how long the good health lasts for...
I pick the money.. But not just because I would spend it.. I would also use it to support my family, and even put some away for the future generations.
Reminds me of something, that in a few decades or so, there'll be a whole generation of Lottery Aristocracy, if they used it wisely.
Plus, with money like that, it's not like illness will come any quicker.. or be anymore deadly than if you didn't have it.