I feel your pain! I am a poor sleeper and terrible at napping.
When I first started working, we did unbroken on calls (so admitting patients for 24 hrs and then working a normal day for the rest of the week. Weekends would be starting at 8am on Saturday and finishing whenever the work was done on Monday evening). It was a lot quieter in those days and there were rooms that you could nap in if you weren’t busy. However, I never could nap. I always said it was the adrenaline, and the expectation that I’d be bleeped again in a few minutes.
Then we did weeks of nights - 12hr shifts and a ward round. I’d go home feeling tired, have a cuppa and feel a bit drowsy, and then get into bed and BE WIDE AWAKE, and then drop off just before I’d have to have a shower and start all over again.
Then I had a baby. “Sleep when the baby sleeps”. Ha, bloody, ha, ha. At least I’d had 15 years of training to function well on minimal sleep.
I still can’t nap unless I am ‘tricked’ into going to sleep, by either my husband telling me about some terribly technical aspect of IT coding in the most monotonous voice he can muster, or by having my back stroked.
I echo the advice above. Even if you don’t sleep, rest will help. However, I would add, it’s better to get up and do something than be tossing and turning.