I haven't had a c/s but a friend whose first child was stillborn and born via emergency c/s then had her second child via scheduled c/s 11 months later. If you don't want to try a VBAC, then the time between births probably doesn't have to be as long as recommended. Something to check.

I know it's recommended to wait a few months after a late loss from an emotional point of view. I found the 4-5 month mark especially hard and I know others have too. Another pregnancy can add enormous stress on top of grief. However, many women have had another baby soon after a child dies and they do manage.