Fewer than half of the hypereducated peers I know have kids, while my gardener has 8 kids, so I expect that this trend will continue
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This is true but I suspect people with higher IQs tend to have more education. Probably because they are "good" at learning while someone with a lower IQ struggles more and doesn't like it because of that.
Wow! You must have ran a battery of IQ tests to assert this with such absolute certainty.
My father used to be a gardener to make ends meet. Because of a lack of education and a language barrier, I'm sure he would appear low IQ as well. Now he works in electronics manufacturing and the efficiency by which he debugs production problems and reasons from first principles would put many of my educated peers to shame. What can be easily dismissed as a lack of ability can be more reasonably explained by a lack of opportunity and resources. But it is easier for privileged people to look down on others and believe that everyone is in a position they deserve.
I think the above is part of the doubt you are running into with your claim. You might be able to come up with evidence/stores that would lend credence to you conclusions about your gardener, but I do not think it would move your main point "there has got to be some correlation between IQ and education." forward.