Applying for grants is not out entirely, Alain, but it would help
your case if you could get a more experienced filmmaker on board as a
co-producer or at least as an advisor. $5,000 does seem a bit low
for a budget though.
In terms of looking for funding, start by looking at other films with
similar topics to see where they got their funding. Then start to
research those funders. You don't say where you are based. If you
are in the United States, you might find these suggestions helpful: