It's unlikely that you'll be able to get a loan like that without your attorney's signature. If you have the chance to do that, I'd walk away, because it's far riskier for the loan company -- and that means you'll be getting a lot less of the money than you would otherwise, even in one of these deals. When the case settles, the money comes through your attorney's trust account; the lawyer's written agreement to repay your loan, directly, is what makes this work for the reputable companies in this market.
Your attorney can't be expected to risk her job for you. Ask her if there's someone higher up that you can talk to about this, a partner (or more senior partner) at the law firm, or whatever.