In LEGO: How to build a revolving magazine rack for 2x3 tiles?
I suggest using 4175 1x2 plate with ladder together with 3839 1x2 plate with handles SNOTted together with the help of 4070 1x1 brick with headlight, one 2x2 plate and 2 1x2 plates, like so:

Yes, the whole thing is upside-down. This is normal.
This contraption will hold the 2x3 tile snugly, thanks to the offset provided by the lip of the headlight brick. The handle plate will prevent the tile from sliding to the sides while allowing the tile to wiggle a bit. This can be seen in this top view:

Build a few of those, and place them on top of each other in a ladder-like manner, like so:

Add an upside-down 2x6 plate with a 3937 1x2 hinge brick base plus 3938 1x2 hinge brick top, so the entire structure hangs, like so:

...add a column to the center of the 2x6 plate, and the rest is pretty much symmetrical. It might be possible to attach extra hinged plates at the base of the structure for extra stability.
Unfortunately, this design is somewhat bulky. I cannot think (right now) of any other slanted-SNOT design that is more compact. On the plus side, this slanted design offers perfect functionality when getting tiles in/out of the racks.
If you want more than one 2x3 tile per rack, or a looser fit, try getting rid of the headlight bricks, rotating the handle plates 90°.

EDIT: I've been fiddling a bit with your suggestions of 98397 Utensil handlebars and space skeleton arm... just to remember about the existence of other arm pieces like 93061 Arm Skeleton, Bent with Clips at 90 degrees. Together with some 85861 1x1 plate round with open stud, 63965 Bar 6L and 4032 2x2 plate round, it's possible to do something like:

However, I'm not entirely sure if the bent skeleton arms will have enough grip. If they do not, some of the handlebar pieces might drop, and individual racks might rotate out of place.
Note that I'm using four bars there - using one bar doesn't provide enough room, and the individual racks would collide with each other. Hence the 1x1 round hollow plates.