I sent her my advice and she wrote back to say she loved it, so I figured I'd share it with you:
If I were in your shoes, I'd disclose it right upfront in my cover letter. The wrong employers (the large majority) will reject you immediately. The rare right ones will consider you. That's the sort of employer you want to work for anyway.
And I'd focus on making that pitch both to your network and in cold-calling employers who are NOT advertising a job for which you're qualified. The goal would be to get to them early in a job's lifespan: for example, when an employer has a need for someone but isn't yet aware of it or has thought about hiring but haven't started the process yet---that way, you might not have to compete with so many applicants.
And I'd focus on making that pitch both to your network and in cold-calling employers who are NOT advertising a job for which you're qualified. The goal would be to get to them early in a job's lifespan: for example, when an employer has a need for someone but isn't yet aware of it or has thought about hiring but haven't started the process yet---that way, you might not have to compete with so many applicants.