OK, this is starting to make sense to me.
Tune the frequency by changing the distance between the probe and the back wall. That seems fairly simple, although I'm not clear on the meaning of statement that the "electrical distance = physical distance x sqrt of dielectric". If "physical distance" free space wavelength, and "dielectric" is the dielectric constant, then the "electrical distance" is greater than the wavelength in free space, which seems backwards to me.
Side walls need to me at least 1/2 wavelength apart, but what about the height of the cavity? Is there any rule for minimum height? Is there a reason to keep the height larger rather than smaller.
What is the affect of changing the probe length?
VSWR is about 1.5:1 in the center of the band, which is quite satisfactory.
I do like the idea of the patch antenna, in that construction would likely be simpler. However, I'm limited in the available frontal area.
Your insight has been very helpful thus far. I really appreciate the help. It's been hard for me to find straight forward answers in my paultry library of undergraduate electromagnetics texts. I'm sure there must be good coverage on this sort of thing if I knew where to look.