Shear in sandstone happens at a really low force. Where I live (New Mexico) sandstone signs are common. The ones where people just hot glue the support on the back generally last until the tourist puts it on a wall plus a few weeks.
The best ones I've seen have had a groove milled horizontally in the back (staying at least on thickness away from each side) and a piece of angle iron (with the necessary hardware welded, soldered, or glued to the angle) epoxyed into the groove. The groove should be between 1/2 way up from bottom and 2/3 up from the bottom and I'd make it to accommodate 25 mm angle (don't worry about it breaking, the epoxy is a lot stronger than the rock).
This chunk of friable material weighs over 40 kg so you need to think "industrial" instead of "consumer".
Just out of curiosity, will the sign hang on the wall or sit on the ground? Even if it sits on the ground, the above will give you a way to secure it from walking off.
David