@mintich so glad all was well for you!!! 
I was exactly the same. I had listened to Katherine Ryan's pregnancy loss podcast before I even knew I was pregnant and I'd never even heard of missed miscarriages before that, so it was always there in my mind. Plus my mum miscarried at around 11 weeks so I couldn't forget it. I'm 17 weeks today, so I'm very grateful for that.
I don't think there's much advice I can offer to previous posters who are still worried, except I guess just keep reminding yourself the worrying doesn't help. Try and really work on finding some distraction techniques- mindfulness, drawing, watching something on Netflix, reading, exercise...whatever works for you. The worrying won't make anything change or time move faster, the opposite. I just had to keep telling myself that whatever happened, would happen and there was nothing I could do, and the best thing was to try and think about something else.
By the end I did have to listen to KR's podcast again, just to hear what she said, but it didn't make any difference- she had pregnancy symptoms up until the end, no bleeding, nothing was there to warn her. So there's nothing you can do except accept it I suppose.
I didn't know about private scans really, but I don't think it would've helped me- as a PP said, things can still go wrong in the meantime in the first trimester, so it would have just been a temptation, a false sense of security, and cost me money I don't really have- and then I'd still be worrying afterwards and be no less safe.
I hope all of you are OK, and feel better soon!!