Does full blown Chinese historical seinen count https://www.mangago.zone/read-manga/kingdom/
Try giving ch. 1 a go maybe
"i raised a black dragon" is more romancey... but the art and story push it past just being "romance isekai" for me (the setting is like half-western half-eastern though, sorry).
and for question 2, I need a little bit more context, is it that she goes out and does all the actions and fixing of her own life (like she starts a business), or is it that the neglect pushes her away and she ends up in crazy situations that heal her

Please please please help. I need
1..Asian Historical stories (more politics heavy) and
2. Stories where the fmc is neglected at home and goes out and heals herself
Every yaoi rec here gets responses (which I'm very grateful for!) BUT SHOJOSEI AND SEINEN FANS, PLEASE STEP UP, HELP A SISTER OUTTTT