We've been navigating that road too. I've got a good supply that is finally evening out (4 weeks today), but still have an overactive let down as well, plus Tenley is showing some serious signs of reflux, so it makes it difficult. People's automatic response is that if they want to nurse, then let them nurse, but as you've seen, that only results in them throwing it back up-- plus anything else still in their bellies. It's so sad watching it! Plus you feel like a bad mama for not giving them more milk when they want it, even though you know it's better for them.
We've started DD on probiotics and ordered her a hazelwood necklace to start coping with the extra acid. There's also little things we've found that help-- we're nursing her on an angle, so her bum is sitting lower than her head. And after she's done I let her sit five minutes or so before burping her. It sucks, but I think the most helpful change has been the soother-- we didn't want to introduce one until at least 6 weeks, but it helps immensely with her not wanting to keep eating all day long (and then throwing it all up...) and the extra sucking stimulates saliva production which helps with the acid as well. If we give her the soother immediately after pulling her off the breast, it seems to keep her calmer, and then she doesn't throw up as much.
We're also limiting nursing times to about 10 minutes (and she absolutely gulps during that time!) and then she can nurse again any time after an hour. If we let her back on before that- she'll throw up both of those feeds. Anytime within about three hours, she'll nurse from the same breast, and then we'll switch to the other one.
Rusty-- ick! We didn't have any issues with cord stink, it fell off at 6 days and was no problem at all. So thankful!
We're tired here! Tenley is still nursing every hour and a half... and even though she only nurses around 10 minutes, then you add in burping, changing, settling back down and actually falling asleep... so by the time she finally settles I usually only get half an hour or so of sleep before she's up again and wanting to nurse. *sigh* She had a good stretch of about a week where she slept for 3-4 hour stretches all night long. Not any more! lol