I'm so sorry you are feeling this way. I take a medication which is not an SSRI and makes me sleep without grogginess. T he name is Agomelatine 25mg . I've been insomniac for decades. I'm amazed this stuff works so well. It's been the final lynch pin in my meds. I am pretty comfortable now. I wish everyone could get this relief.
At least you are facing your problems by going to a dr. And distracting yourself even for a short time is very smart. Have you ever played hidden object games. When I go wonky they can distract me pretty ell.
I hope you get good news from your dr's appt.