By "...throw money..." I meant send a check. The GI bill was a program. Welfare was a program.I was following you until...
...because that seems to be what they did in the post-war period.
Thinking about it some more, I don't really know if a government program like the GI Bill writ large would work today, but it's not strictly about whether the program itself would be a good idea or not. I'm just not convinced that our government today is capable of implementing such a program. I think the party not in power would try to frustrate the efforts of the party in power, regardless of the merit of the idea. One of the real outcomes of conservative skepticism about government is that it almost becomes a self-fulfilling prophecy. The people who insist government can't help people actively work to prevent government from helping people. Something like what happened with the Affordable Care Act might be a 'best case' scenario these days.
One could also point out that the GI benefits of the 1950s isn't a good model to use because it systematically excluded more than half of the country - women and people of color - and a similar program that didn't have such a narrow target would cost multiple trillions. A non-discriminatory, non-arbitrary method of targeting aid would be more complex and thus more prone to error and fraud, as we've seen with the PPP going to companies like the L.A. Lakers.