Your post set off some bells for me. I'm curious about having 'been through 2'. Does that mean that you've twice been told that custody is not likely for this father and unhappy with the result you are seeking a third or is there a different scenario?
I have been working with children through the court system in my county for YEARS and sometimes parents just can't seem to get that the constant court battles are horrible for the children and they will fight even when judge after judge dismisses the case. One was even admonished for putting his children through such a horrible time in forever seeking custody though it had been ruled time and time again that he was not getting custody. Look at it from that perspective--what is the child gaining by this?
I have personally seen a number of cases where the stepmom didn't want to work any more and could stay home if the child support ended and that was the sole reason for the father seeking custody. Others where the father was trying to get back at his ex. But I've also seen plenty of cases where the dad did win because his was the better, more stable environment.
Has an attorney been appointed for the child(ren) to represent THEIR best interests in this matter? If not, that is what I'd ask for first and see what their opinion is. Normally this cost is shared by both parents on a split scale according to income levels of both sides. As far as an attorney who 'supports dads', any good attorney should be able to equally represent either a mother or a father in a custody case. If you are feeling that the two you have spoken to do not support a father seeking custody, I think I would address that with the local Bar Association...if they however gave you very close advice about not seeking and the reasons why...the father may need to just take a dose of reality and realize that it is not in the cards for whatever reason.
Rosen Law Firm (Raleigh based) has a REALLY great site that has some good reference material you may want to review.
Good luck!