I make sure to wear a maternity bra in bed (and with breast pads if needed). Not the most comfortable but has definitely stopped the leaking as I was the same! My shirt was soaked as was the bed sometimes x
Your supply will get used to it in time so they won’t feel so full but even then you might still leak… with my first I was leaking on the other boob I wasn’t feeding from for months and still had to wear pads! Some people are just leakers 😅
I am in the same boat as you. Sleeps then wakes up for a feed from 1 boob and goes back to sleep. I sleep with like a loose bralette on with breast pads until it will regulate. My LO is now 8 weeks and it has started a bit to regulate, noticed it more during the dayx
It will eventually regulate, I can't remember exactly when but at some point you won't need breast pads at all and BF gets much better after that