A word that refers to a shrill sound vibrating in someone's ears and alerting the senses

Click, click. The rapid shrill sound constantly came and went, _____ing in my ears.

Which word can best fit the blank in the sentence? Ringing or echoing fit, but seem too lackluster and mediocre to me.

Definition:

A word that refers to a repeating shrill sound being vibrated in someone's ears and alerting the senses because of its shrillness and the abruptness of its coming and ending.

Context:

The narrator is using a PC. The clicking of the mouse is the 'sound' in question. She is getting sleepy and the only thing that seems to keep her awake is the constant clicking sound. No, the sound isn't ear-piercingly loud and shrill. Nor is it very pleasant to the ears. What I seek to describe is the effect the sound produces, not the sound itself.

Preferences:

I'm looking for a word that's (preferably) short, simple and powerful. As I said earlier — what I seek to describe is the effect the sound produces, not the sound itself. If you choose a word that needs the sentence to be reworded a bit in order to fit, don't hesitate to share it. I won't mind, as long as the word's appropriate and the meaning isn't drastically changed.

Possible answers include

jarring - Incongruous in a striking or shocking way; clashing.

ODO

or

grating - Sounding harsh and unpleasant.

ODO

Click, click. The rapid shrill sound constantly came and went, trilling in my ears.

From Oxford:

trill

A quavering or vibratory sound, especially a rapid alternation of sung or played notes.

‘the caged bird launched into a piercing trill’

Also from Oxford:

‘But on the sunlit walls, suddenly trilling like car alarms, small brightly coloured birds were hung in cages outside shops.’