In the ones don't have cotton on the outside you shouldn't get wicking but I still wouldn't use a Weehugger for overnight. They seem to be on the small side compared to other nappies (at least, my size 2 one is) - there's no way I could possibly put enough inserts in one to last more than a few hours. Night nappies really need to be bigger than day nappies unless you have a baby that doesn't wee very much (a light wetter). Young babies should be ok in day nappies for a few months though cos they poo so much that you'll be changing them overnight anyway.
Proper night nappies are ones that are specifically made for nights, so they will usually have Night Nappy or something about bedtime in their name e.g. Wee Notions Night Notions, Puddlekins Silent Nights. They are generally quite a bit bulkier than day nappies because they are a lot more absorbent. That's ok because baby won't be needing to move around as much at night. If you had a nappy that was absorbent enough for day and night, I think it would be too bulky for normal daytime use. With nappies that are really day nappies (manufacturers rarely call them this though, cos they want you to think you can use them 24/7, and some lucky people can), if you put enough extra boosters in them to make them last overnight it can often distort the shape of the nappy so that it leaks e.g. this happens a lot with pocket nappies, and with Weehuggers I just don't think the boosters would fit at all!
Disposables may seem less confusing but there's also less choice - if they leak for you, there's not much you can do about it, whereas there are always new things to try with cloth
I would try one of each main type of nappy, so a pocket nappy (like a bumGenius V4), an all-in-one (Itti Bitti AIO, BG Organic AIO) or an all-in-two (Wee Notions AI2, Itti Bitti, Cushie Tushie), a fitted nappy (Thirsties Fab Fitted, Tots Bots Stretch, Little Lamb) and wrap (Thirsties Duo wrap, Bummis wraps, Nature Babies) and a hybrid nappy like a Weehugger or Flip. You could maybe try a flat nappy like a prefold or terry with a wrap, but a lot of people don't bother with those. With the type you think you'll like best, I'd try a couple of different brands so if you think Weehuggers sound good, I'd try a couple of similar nappies, so maybe a Weehugger, a Flip and something like a Gen-Y Universal wrap with a prefold insert, or a Thirsties Duo wrap with one of their hemp inserts.