"dry tears" is correct and usable in written English.
It is used to describe the tears that someone does not cry, or hidden emotions that are not shown. It can also refer to tears that have already been shed and have dried up. Example: After the death of her beloved pet, Jenny could only shed dry tears as she tried to keep a brave face in front of her family.
In her hot room, alone, she thinks of home, cries dry tears, and sleeps.
Through the film of dry tears that the cold brought to my eyes, everything sparkled more brightly.
I keep remembering the blurred sight of your face through the cigarette smoke and the mists of inebriation or through the glittery curtain of those dry tears of cold.
This winter, I'll see more patients with seasonal-affective disorder than the flu, and the tissues in my exam room will dry tears more often than they muffle sneezes.
I sat in the movie theater yesterday, my cheeks stained with dry tears, creating constantly flooding rivulets that soaked into the corners of my mouth.
Noonan was at an out-of-state bishops' conference but changed his travel plans so he could return to Orlando to hold a prayer service — he called it a "Vigil to Dry Tears" — at St. James Cathedral in downtown Orlando at 7 p.m.
Each is the result of Morrison's laborious process: gather fabrics, sew a quilt, lay it flat, build a mold, pour in Hydrocal, let it dry, tear out the quilt and then begin painting the cast slab.
At some point I'll have to paint my desk with white emulsion, then invert my laptop and shake out all the dead skin, hair, biscuit crumbs and dried tears I've somehow shed over the keyboard.
A guardian's responsibilities range from the mundane to the monumental: everything from tying shoelaces and drying tears to selecting schools and medical care.
And the drying tears of a bad one.
I dried tears, blogged my feelings in an exhaustingly transparent way, and deliberated.
