I shot a documentary last year on a Panasonic FZ200. Audio was via a Zoom H1. I was going to delay everything until I had £15,000 worth of rig, but decided to shoot once the opportunity was hot and there for the taking.
My entire equipment cost £500.
Unless you are planning to sell to a broadcasting company, it doesn't really matter what you use if the story is good enough and you have the heart to do it.
I only say this because it is tempting to use the excuse that we don't have the perfect set up as a cover for procrastination. We end up never producing anything.
Next documentary will be filmed using the a7sii - this time I will be able to shoot indoors, as well