Should I use a roll or spray method to paint my textured ceiling?
Spray and roll, more commonly called spray and backroll around me is when you spray the paint on and then another person follows behind you with a roller to roll the freshly spread paint. One of the reasons to do it is to get more even coverage in textured ceilings.

It's easier to do with two people so if it's just you might just want to skip the sprayer to keep things simple.

If you've never used spray equipment before it can take some time to get used to. Chances are you're going to mess up the first go (drips, sags, missed spots, etc) so at least practice on some cardboard or something. 

I own and have used sprayers but I also own a Wagner Power Roller. It's a system that feeds paint through a tube into a roller so I don't have to keep a tray of paint. I eventually got good with the sprayers but with the power roller there was very little learning curve, no need to tape as much and cover everything. In almost every way I found it easier than the sprayer.

They make roller arms that attach to airless sprayers that do the same thing. There called pressure rollers. If you have access to the airless sprayer maybe you can find one to borrow or rent.