I take 50mg trazodone at night, if I can't sleep. After about 30mins to 1hr, I will usually be able to sleep but it's hard to tell if that's because of a sedative effect or a 'calming' effect which then enables me to relax and sleep. (See symptoms above which are very cortisol-y.) I was told I could increase to 100mg if needed, but I didn't notice that to be any better/worse for sleep.
I don't take it regularly, I just take it when I need it. It's not on my repeats, I have to request it. (Confession - my dogs actually take it before a vet visit, to calm them - and I MIGHT POSSIBLY have raided their supply

)
As for side effects, the only thing I've noticed is a dry mouth whilst I'm sleeping. Which I think is common with a lot of anti-depressants. Some people say they feel a bit brain-fog-gy the next day, but I haven't noticed that.
You can always give it a go and see, since it's non-addictive and doesn't need to be taken every day it should be easy enough to stop if it's not doing anything or sedating you. (It might need several consecutive days to build up before the anti-anxiety effects kick in properly - so give it a week, I'd say.) And if you're not told when to take it, take it at night, just in case it relaxes you...