Brilliant. Of couse, recruiters withhold company names because they're scared you'll go straight to the company and they won't get paid. Therefore, you should

Brilliant. Of couse, recruiters withhold company names because they're scared you'll go straight to the company and they won't get paid. Therefore, you should add something to the letter like "I understand you have to make money. So my pledge to you is this: Unless I have a pre-existing relationship with the company, I promise not to go straight to them without giving you due credit." That's a fair agreement.