There is a special level of WTF when you read for now several years in every business magazine that what you do is the most looked for skill-set, that they'll be millions like you needed, and having that conversation “It is so difficult to hire the right kind of people! I’ve tried that for months! — Couldn’t you argue that to get me a H1B? — Nah, it's too difficult: you have to put out an ad and wait three months.”
My point is: your brand can be associated to that kind of experience for 60% of your user-base, or try to avoid it.
Your response seems to come exclusively from your perspective, both as US-based and as an intermediary. Great products are made by walking in the shoes of every party involved.
One thing you could do too, as you have a list of candidates, is some instant feedback to employers on whether or not lobbying for a visa would make sense: just say how many candidates are available for each options, how expensive they are or, better, how the best candidates for each option rank in your game; when they might be available. That would require coding, and I appreciate you have limited ressources — but being open-source should let you hope for an interested party to do it for you. So I guess: congratulation on your strategy.