Mother-ease wraps are very reliable so worth a try, but they can leave red marks on some babies legs, so perhaps it's worth trying them and another type, such as the wacky wrap.
I have heard good things about the new wacky wraps and there are a few people on this forum who have bought them.
Tots originals are a nice nappy, they are pretty bulky and not particularly fast drying, so you would probably need a few if you aren't tumble-drying.
They work quite well for shopping trips, or well-boosted, overnight.
I think your original choices, Wam-bamboo, Sandy's etc.. are probably a bit slimmer and wouldn't take any longer than a tots original to dry.
Bumbles are quite similar to tots original, in that they are white cotton terry, but they are much faster drying and you can put more material inside to make them last longer.
All in all, I think your idea of trying a few different types is excellent, you can't really know until you try, and you can always sell them on Ebay if you don't like them.
The nappies that I know of that pull up are button up nappies or minki yo yos. Although there may be others.
You can use a poppered nappy like a Sandy's as a pull up as well.
I think button up nappies might be good because they are pretty absorbent, although the reviews say they are quite bulky. But I don't think it is so important to have a trim nappy for nights.
Hope that helps