You really need a specific night nappy, most people can't get away with using a daytime nappy for nights. We use Flutterby Nights and have used bedbugs and dreamscapes in the past. Others use Minki huggles, bumhuggers, bamboo baby beehinds, Upsy Daisy night nappies, WeeNotions Night Notions. Using wool or fleece over the night nappy rather than a PUL wrap will also help as they are both breathable and allow some of the moisture to evaporate so the nappy isn't as wet in the morning. Minki pocket nappies also work well overnight, particularly fleece outer ones.