OP - my only response at this point is that I am so sorry you did not view your family as a support after you experienced a traumatic birth experience. DD's birth was relatively uneventful, but it was so great to have my mom there the very first night she was with us. It was overwhelming to have a new baby and I did not have the birth I planned, so I was not expecting to be in the hospital. Having my mom with me to help me physically and emotionally was actually really healing. I know it meant the world to her to be there to support me too.
It's wonderful that you can rely on your family for support, but not all families are like this. My family of origin lives very very far away, and so having them visit is much more of a big hurrah than if they just drove a few hours, so I asked them to wait a month or so to come visit. As much as I love to see them and wanted them to see the baby, I just knew it would be a little stressful for me to be hosting them in another country (some of them hadn't even ever been here before). As it turns out, my dad booked his flight before the birth, and the baby was late, so he was here when the baby was 10 days old. But it was just my dad, he stayed in a hotel, entertained himself for portions of the day, and is just a generally relaxed and non-invasive person.
My in-laws, however.....
They were practically busting down the door to meet the first grandchild. Understandably. The problem: they are pretty invasive, insensitive people. They mean well, but having them over is always a strain, baby or not. They always expect so much from me, and half the time I don't even know what that is. My MIL has turned out to be enormously helpful, but unfortunately my SIL would have insisted on coming with her those first days, so we had to just say no. As I mentioned earlier, that was very smart as I also had a traumatic cesarean birth, and needed time to get over that. The last person I would've wanted to deal with at that time was my SIL.
The OP has not said what her family is like, but I just wanted to say that some families (or family members), unfortunately, offer more stress than support and I totally get not wanting them to come round immediately after the birth.