Welcome to permies!
Most of the "successful at staying dry" underground homes I've read about, build the home and then
berm all around it so that in fact, the house is mostly above the original soil level and the water level. To get the soil for the berm, they dig a
pond.
Water runs down hill - the more sloped the hill, the faster it will run. A house I once visited that had been built in such a situation, had finally spent a pile of money making a serious wall/swale combo to divert all the water coming off the hill away from their house.
So much depends on the exact ecosystem, and the exact hill. I wouldn't underestimate the amount of water you might have to deal with. Water is weird stuff - it can move up-hill if the water pressure is pushing it that way!
Similarly, storms are getting more extreme, and I know of 1
permie that had multiple days of 3 inches of rain with only minimal days in between this year.
You can build almost anything if you keep those principles in mind and plan for the extreme once in a 1000 year storm. I wouldn't do too much planning until you see a piece of
land that has potential and someone very knowledgeable in soil and water movement assesses the land, and a good civil engineer advises on the structural side of things.
Beyond that, yes, the principle of making the design so that it will divert any water that gets to it, is sound - I'm suggesting that you design so there's little chance of the water getting there in the first place! Dry soil insulates. Wet soil does not. Modern underground houses are designed with an "umbrella" of various materials and membranes that keeps that lower soil dry. Then above the umbrella, there is wet soil grows grass.