I had a great check-up yesterday. The doctor kindly explained that they couldn't do a routine 16 week ultrasound for everyone, but she would do a uterus palpatation, fundal height measurement, and a doppler check. If any of those looked off, then she would send me for a scan.
She said that she could feel my uterus sitting just underneath my belly button, and showed me how to feel it myself. My fundal height was 14 cm (at 16 weeks it should be 16cm +/- 2cm). She had a great deal of difficulty finding the heartbeat, which made me feel better about having trouble with my home doppler. She found the soft wooshing of the ubilical cord pulse quite easily, and some sporadic sloshes of the fetus moving, and finally about 20 seconds of the loud galloping fetal heartbeat at 160 bpm, before the fetus swam away again.
I know that we didn't get an ultrasound, but all in all I felt very reassured. The doctor seemed so calm and confident that I felt like any other pregnant woman in for a routine check-up.
And now only four weeks to go until we reach the half-way point and our big 20 week morphology scan.