I like using the ones with alcohol. Why not kill two birds with one stone and get drunk while wiping? It's time to celebrate!
I found alcohol wipes too intense only when I had hemorrhoids. I'd be cautious then but not worry otherwise ... maybe if you've had particularly acidic or constant diarrhea and the area is already very sensitive.
I go to the local Big Lots store, where I can get a pack of 100 baby wipes for two bucks, or sometimes use the packs I get at the dollar store. For a penny or two a sheet, I can use as many as I like, and I don't like to feel intimidated or second-guess myself in real time about doing absolutely everything necessary to get clean down there. At that price, I can wipe my butt like a king.
I open the rectangular package on the vertical end, so there's less air exposure, because I find there is nothing you can do to keep them from drying out eventually. Alcohol evaporates very quickly and it takes a fair amount of liquid to keep a pack of 100 wipes very moist. Anyway, when done, I stand the package of wipes up vertically in a gallon ziplock bag with the open end toward the top, roll the bag to get most of the air out, then unroll it carefully and close the ziplock. I then stand the bag up vertically in an over-the-door shoe hanger. I figure that way, I have the least chance of liquid escaping and drying out the tissues. Every so often I add some water or alcohol to the remaining block of tissues to keep them moist.
P.S.: I also like to have a decent amount of alcohol in the tissues to help clean my hands afterwards. I don't trust the alcohol gels alone, as I have read that the claims for their killing germs are exaggerated. And I think wiping with a cloth is better for getting rid of any smell.
I also use the same kind of tissues to clean my eyes, face, neck, and behind the ears on waking, and need the rubbing alcohol to cut through body oils ... otherwise I'll just be smearing them around and scenting them, which is not what I'm after.