I’m a Longhaul pilot, so spend my life jet lagged! Don’t overthink it is my main advice. Once you get your head around the fact that resting in a darkened room with the lights out is almost the same restorative power as sleep, you’ll stress about it less, and probably get some sleep!
If I land back and get home before midday, I’ll have 2 hrs sleep, then stay up until normal bedtime. I always sleep well back in my own bed, regardless of East or West.
I don’t see the point flying through the night, then trying to stay up all day – that’s a 7 hr sleep deficit! I’ve just flown back from Seattle today. I had a 2 hr nap before leaving the hotel(after watching Wiggo & mates), a 2hr nap on the flight, and got home at 4PM, so I’ll stay up until bedtime now.