So I was able to get a 60mm syringe and flexible tube from our local feed store this afternoon and we put about 40mm of homemade electrolyte mixture into her. It went off without a hitch (I used a lighter and scissors to smooth out the end and lubricated it with coconut oil. The electrolyte mix had 2 t sugar, 1 t molasses, 1 t sea salt, 1 t baking soda, 1 t potassium chloride, half a dropper of colloidal silver and 8 drops of trace minerals to a gallon of water). She was nervous and squirmy at first but once her crop was full and we pulled the tube out she relaxed and settled down, seeming to feel better.
When I let her go she immediately pooped water on the floor:
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Now, I'm assuming that it was too quick for her to have pooped out any of the liquid we had just pumped into her, so that must have been water she had ingested earlier, right? (plus, the liquid we gave her was tinged brown from the molasses and this stuff was clear) Which means that she has, at least, been able to ingest water. So in an hour and a half, instead of giving her more liquid, we're going to get some food into her. The other ducks will be coming in for the night around that time, so we'll feed her and let her bathe with them in the tub before bed, and then see how she's doing in the morning.
I know weighing is important, but I don't have any way to do that at the moment. So I erred on the side of caution with her liquids and assumed she was on the small side for a Khaki Campbel and calculated her liquid for a 3 pound rather than a 5 pound duck (she is definitely smaller than our Welsh Harlequin drake). I will do the same with her food. So we will plan on getting about 45 cc of mash into her crop this evening.