Anyone who can afford what they negotiate with the drug companies. The Act is not welfare. It simply gets out of the way of people trying experimental treatment when they have no other options. The government/taxpayers are not going to pay for it. It really isn't new anyway, but does get rid of FDA red tape. However, the FDA already has a program where people can apply for permission to accept experimental treatments as a last resort. Many die while the FDA is doing what government does best............use up valuable time with bureaucratic nonsense. This embarrassed the FDA. Boo hoo hoo.
There are supplemental insurance products now that cover experimental treatments and procedures along with catastrophic health treatments and drugs like some of the really expensive cancer or HIV cocktail drugs and also genetic stuff/stem cell stuff/transplants that regular medical insurance doesn't cover. I don't know if individuals can buy them (yet) but my former employer pays for it for its employees and retirees. I would expect that product to become more commonplace since now there will be more people attempting experimental treatment (I assume). It may not be the big rush some are looking for since it's really not new.
I don't think it's a dirty word. Means-tested entitlement programs have been called welfare much longer than you and I have been around. We could go back to the depression-era term of "relief" I suppose. I actually can think of words to call them that are much more offensive descriptive than welfare.