Lmao why even specify cow milk, any milk is fine. You even mention how you prefer oat milk afterwards 🤯

If you’re not overly concerned with sugar content, try some flavoured milk. I bought some banana flavoured soymilk (Alpro I think) a while ago and put it in the fridge overnight with the oats, was amazing, didn’t even need any added fruits or whatever, though I did add some walnuts I had laying around (after the soaking in the fridge).

I tried overnight oats with yoghurt once and it failed miserably, the oats didn’t absorb anything. Tried it with some milk later and it was perfect.