myputer, from what I've seen and read from you on ATOT (Hell, even the simple fact that you post here), I'd say you have the, uh, stones to handle this work environment.
C'mon, you know, as most all of the women here know, that males are big goofy puppies who are easily influenced and led by a strong minded woman!
You'd have to be lovingly fierce, and fiercely consistent ABOUT being lovingly fierce, but you could easily set the tone and maintain it. The first time a guy went even a little over the line, you could loudly but smilingly call him on it, and enlist the other guys all too readily to your side. Again, c'mon, who amongst the other boys wouldn't want to be your pet and proud protector They'd be falling all over each other big time to support you!
You could REALLY make this work for you, and I mean BIG TIME. You'd just have to play the part and be "on the job" 24/7 in such an enviroment -- that's the trade-off.
Only you know if such a trade-off would work for you, but you did say your family needs the dough, and you do have that 30 day out.
Good luck.
Edit: You'd be, in effect, the alpha male, despite your lack of exterior plumbing. Sometimes the best man for a job IS a woman, lol!