Lemme just be straight and say that I don't really ship characters; I don't understand why people like to so much, but whatever floats your boat. Plus, it's difficult for me to get behind something that isn't canon. However, NozoEli might as well be canon. I mean, come on! They have an entire song dedicated to be in love with another girl. And they could have picked literally any two characters, yet they went with these two. Plus, they were even featured in traditional Japanese wedding attire (above picture), in DG's. How is this not canon? And even if it wasn't, it'd still be the only ship I'd support anyway. It's pretty clear that these two really care about each other, and while that doesn't mean that you're automatically attracted to someone, it's canon so who cares.
As for other ships... NicoMaki? Hell noooooo. Don't even get me started on that... RinPana? Maybe. I don't know how canon it is, but from what I remember, in School Idol Diary Rin proposed to Hanayo and it was pretty strongtly implied that she said yes so... maybe it's canon? So, while I don't personally ship them, I can support it. Pretty much any µ's second year ships are alright too. As for Aqours... well, they're not really on the ship-dar at all, and we're all tired of hearing the jokes about ChikaRiko and You and all that, so let's stop while we're ahead.