Unfortunately this isn't as easy as you think - even if there's no monetary cost, it's still not free to the organizations you're giving it to, because it takes their time and effort. Someone has to spend the time learning about the product and evaluating whether it fits a need.
That means that even though it's free, you have to sell it - maybe that's just through marketing if it's simple enough, or maybe you're going to have to get on the phone with decision makers if it's more complex.
If it's the latter, the fact that it's free honestly may not even be a good thing. Companies have budgets and willingness to pay for things, so the person evaluating it may prefer something that's paid because there's money available anyway and a paid tool is much less likely to disappear tomorrow.
I really recommend thinking about pricing and trying to sell it to a few customers - if that's your ultimate goal anyway, it means you'll be getting feedback from the right people (those who are willing to evaluate it as a paid tool) vs. folks who may only be willing to use it because it's free.