If you’re putting in a dishwasher just drill the holes. Your landlord will thank you for saving them the trouble of having to do that themselves some day.

I don’t think any normal landlord would give two shits about some dishwasher-hose-sized holes drilled under a sink, between internal cabinet walls, that no one will ever see. Such holes are so far back and out of the way… No one would ever notice unless they’re missing.