L.H.
Have you tried the Huggies Overnight? You can find them online in size 3, but the stores usually start at 4. Thankfully my daughter can fit into the 4's. They have worked wonders.
Otherwise, you might just have to suck it up and wake her up in the middle of the night. Is she hard to put down? Once my daughter is in her "dead-sleep" mode, I can change her diaper and her clothes while she's asleep. :)