Urgent: Salary negotiations for women?

I'm hoping to receive a job offer tomorrow or Friday. I'm in a typically well paid field, in a city where many companies in this field exist, my experience seems in line with what they are looking for and, not to jinx it, but I feel reasonably confident about how I performed during the hours of interviewing I went through. Additionally, one of the big, popular benefits does not apply to me (something like free steak lunch while I'm vegetarian, or free excellent child care even though I'm barren, that sort of thing, I'm being intentionally light on specifics).

Unlike every previous job, I've managed to sidestep the "how much do you make/how much do you want" question. I've let it be known that my general desires are to earn "market rates."

So, I'm in the process of researching exactly what market rates are. So no need to advise me to do that.

My question is: do you have any woman specific advice for the salary negotiations?

To quote an article:

As we practice it in the United States, negotiation is a man’s game with men’s rules.

At bargaining tables, women’s biggest obstacle isn’t that they can’t learn to be “more like men.” The real problem is that most people, men and women alike, don’t want them to be more like men.

The traits that both men and women associate with good negotiators are tied up with ideas of masculinity — such as rationality, assertiveness and self-assurance — rather than more feminine traits, such as emotionality and accommodation.

If women aren’t seen as tough enough at negotiating, why not just train them to “man up”? Unfortunately, even when they do employ traditionally male tactics, women still lose. Underlying our assumptions about what makes a good negotiator is the idea that it’s okay — even necessary — to aggressively pursue one’s self-interest when bargaining. It’s not a sign of being selfish; it’s what we expect. But we don’t expect it in women.

Researchers repeatedly have documented that people react more unfavorably to women who ask for more money, compared with men who do. A woman who negotiates is seen as especially demanding and therefore a less-than-ideal new colleague. In a series of controlled experiments in the 1990s, a Rutgers University study found that women risk being passed over for hire if they engage in self-promotion in job interviews, defying expectations of “feminine modesty.” More than a decade later, Harvard and Carnegie Mellon researchers found that the effect persisted, with women facing backlash when behaving assertively in negotiations. To be demanding in a business setting is to be unfeminine, unseemly, shrewish or worse. This body of research underscores a cultural truth: Women are expected to be warm, empathetic and unselfish.

What? There's biological differences between the sexes, and men don't like shrews? Say it ain't so!

Most information on negotiating seems to be for men, and most the information for women seems to be "don't be afraid to act like a man." I feel that there must be a better way. To achieve my goals via warmth, and the appearance of accommodation, rather than ill received stubbornness.

It's also possible I've completely overestimated my suitability for this job and my performance during the interview process, so this might not end up being an urgent request. Fingers crossed, though!!!