Search out the TI Swim & Nod Drill. (Maybe it is called the Nod & Swim Drill.) Coach Suzanne had some nice suggestions and mind sets on it some years back on this. It helps mostly to learn to keep the head low but by going through the sequence of the drill to one side then to then next, it helps with bilateral breathing .... at least it has for me.
If you're not swimming; then you should be skiing......