Hi Poly,
Lots of bossy advice here, please take anything useful and toss the rest...
totally understand why you're eager to find someone who fits the exact profile. But imo, this is is magical thinking. You could find someone who fit the checklist but who couldn't or wouldn't or didn't know how to articulate why he's okay. You would be shattered, because you've set yourself up to believe the checklist is the answer.
This is one COMPLEX AMAZING universe. Life is big, amazing, huge, marvellous, extraordinary, staggering! It's not routine that you have children! It's not ordinary that you have trees moving in the wind and hands that can hold a paintbrush or hammer!
That little Son-of-N checklist can't possibly be the only answer!
I believe you are setting yourself up in an obsessive way: the checklist, all the specific criteria. You can waste your hopes fixating on the checklist, and miss actual healers passing within feet (or posts) of you.
What I believe will work for you is to draw bits of healing and wisdom from a VARIETY of people and groups and resources. Male, female, spiritual, group, one-on-one, professional, pharmaceutical, familial, animal, altruistic. You need ALL of this, not ONE person.
A full-tilt love and support assault for yourself from every possible direction and source. Because you deserve to heal and to live.
And more importantly, because your children deserve a living father. Not a perfect one.
(I will say too that suicide, of a parent, is the most profoundly cruel thing a human can do to a child, imo. And though you don't discuss your kids, I am having trouble believing you want to tear their hearts out of their chests.)
I do ask, have you been thoroughly evaluated for the possibility of OCD?
I have always been drawn to the obsessive stubborn focus...(a lot of artists and writers have this trait) but I also know it can be a diversion, a distraction, from actually integrating the splintering parts of yourself.
It's not the checklist. It's just love, and hope, hope, hope.
You are absolutely determined and whether you find the profile man or not, you ARE finding something.
Keep talking. Get out to see PEOPLE, in addition to your therapist, can you find PEOPLE plural, in positive groups...say, volunteering? Several hours a week.
That is healing as well, it breaks the cycle of thought that you're struggling with.
Is there a soup kitchen or Habitat for Humanity? They'd love to see you. It won't be about you. And it will help you.
I'll swear that.
Hops