The problem turned out to be one of elementary fluid mechanics, not a water pressure problem.
The OEM shower head had a limiter of 2.5GPM, and 40 orifices in the head. When pointed upward, the water barely bubbled over the head surface.
A spare shower head I had on hand had the same limiter, but only 20 orifices in the head. I got about a 4" rise out of that one, which probably would have been adequate for most purposes. It also had a "pulsator" setting, where the water jets from only four orifices -- I got at least three feet of rise out of that setting, which should handle the most demanding requirements.
Unfortunately, the spare shower head wasn't for an RV, and so is lacking the shutoff button... so I'll use it until I can get around to obtaining a better head. Now that I know what I'm looking for, I'm all set.
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2019 Cougar 26RBSWE
2019 Ford F-250
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