What a bizarre story !
I will hazard a guess at a possible solution. Assuming that you can not use your laptop for a designated period close it up and put it in an area of bright light. The thunder flies will try to escape to the light, and hopefully find their way out. If that fails, then the outcome you suggested may be the solution. The alternative is to see if you can detach the screen from the case ... but that may be easier said than done.