Carbonate hardness (KH) and alkalinity are essentially the same thing. There are a few minor differences, but in an aquarium situation they mean pretty much the same thing. The API KH test is actually a test for alkalinity for instance.
Raising carbonate hardness will raise pH, no way around that. You can add something to raise KH, that will in turn raise the pH. You could then add something that would acidify the water and bring the pH back down, but it would do that by lowering the KH.
What's the problem? Why do you want to raise the KH?