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A brief comment: The waveguide antena calculations are scalable, so you may be right (I have not verified those). The most essential dimensioning issue is to know the standing wave length -- which is dependent on the tube diameter. Probe should be 1/4 of that from the bottom (which should be flat) and minimum length -- I have seen stated -- is 3/4 of standing wave length, but preferably more. The diameter minimum/maximum is related to the wavelength again.
You find the calculators in various places. I have not the links handy just now, but please see Antenna FAQ links referring to waveguide/cantenna sites.
The tube must be well cdonductive (metal) from inside. Maybe PVC would do if you find a way to lace it with aluminium or similar? I would directly go for metal anyway.
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