Want to tell everyone at 12 weeks, but NO ultrasound ???

So I’m just a day shy of 9 weeks. Had an ultrasound today baby measuring perfectly, moving, and HR 176. First pregnancy no history of issues with me or family members. 31 years old. From what I’m reading, people wait until they’re 12 weeks to tell about the pregnancy, right? Well, my doc won’t see me back until 4 weeks from now, which will put me at 13 weeks! I was kind of upset because I always thought you got a “yup you’re good” ultrasound at 12 weeks and then you could announce. Well they say the doc won’t even do an ultrasound at the 13 week appointment, just check the heartbeat!? I don’t want to wait an extra week to tell people if they’re not even going to do an ultrasound anyway. Has anyone else had this issue? How did you get around it?

ps- does anyone know if heartbeat is really the only thing they check at that point? My husband has an ultrasound machine, if he can see baby and heartbeat on ultrasound at 12 weeks do you think it’s safe to announce then??