Painter & Furniture Refinishing
If it were my problem, I'd force some "No More Nails" adhesive into the crack, promptly clean the surface with damp cloth. Once cured, 24 hrs., it would NEVER come apart! The wood would break almost anywhere except for the repaired area. Once cured, it would be near impossible to remove the surface residue. I have done a few repairs with this stuff and I don't know of anything stronger AND it is not flexible, like caulking. Also, make sure the area is well supported while the adhesive cures.