Hi kahuna,
My water comes out of the tap @ 7.4 and within 4 hours raises to 8.2.
I'm told it has to do with co2 (or lack there of, I've forgotten which) that the water co. adjusts in the water
to keep the pH lower so it doesn't damage thier pipes.
Needless to say, I pre-condition my replacement water for partial water changes.
All my tanks sit at pH 8.1 to 8.2 High? yes, but stable.
I keep both panda and sterbae corydoras.
I did a little research on your cories:
Planetcatfish states your corydoras punctatus does better in a lower pH and is a very social catfish.
It will not only get along with other cats, but will do better with them.
So planetcatfish strongly recommends keeping them in a shoal with any corydoras.
Also, according to planetcatfish

the schwartzi species is still imported in large numbers,
so they recommend quarantine, especially if adding to groups in well established tanks.

As a suggestion, if you don't have access to a local breeder, I would try albino, emerald green or bronze corydoras.
They are bred from the same species, lean toward the higher end of pH (7.8-8.0)
and should be adaptable to your pH if you
acclimate them carefully.
All cories are sensitive to water conditions at the bottom of the tank, so
gravel vaccing and doing partial water changes
low in the water collum might help your cause.
How thick is the gravel in your tank?
2" should be plenty and will hold less debris and make gravel vaccing easer.
If you have alot and want to remove some, post that info and we can help you so you don't have mini cycle problems.
Be sure they get food. They do much better if not treated as scavengers, but are fed like other fish.
You could try adding sinking food after lights out... with the following disclaimer:
Since you have only 2 right now, don't accidentally over do it and pollute the tank.
I hope at least some of this helps you,
alicem