Hi,
You can turn off the distortion unit on the multi effects if you want to use the other effects in the ensemble provided - or find one that doesnt have the distortion attached. Personally I think the multi effects section is aimed at guitars and isn't the best for vocals....
As for the Presets, use them as a starter - I found a lot of them to be quite extreme, turn them down so they're not so in your face and you can often get a good sound - then save it to the User section for later use!!
For vocals I tend to use (and not necessarilly in this order or all at the same time) Compression, Reverb, Delay, Pitch shifting, EQ and then I experiment with other things like Flangers and Chorus etc etc. If I use distortion or an overdrive on vocals it is very very minimal...
I do agree with recording everything "dry" if you can. I do with most of my tracks - vox, gtr, bass and drums. The great thing with the Neo is you can take the dry track, add an effect, then bounce that so you have if recorded. Then you take the same dry signal and add another effect. You can then blend the two together - and if it doesnt work, you just go back to the original dry recording and start again... It gives you a lot more options than recording with the effect on, because if you discover you've used to much reverb when you recorded your track, you cant take it off.
If you want to hear the signal with the effect on when you record, you can still do that without actually recording the effect...
HTH
Zeek