3 year old won't sleep on holiday :(

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At wits end with 3 year old DD. Very stubborn child! Won't stop coming out of bed. Tried laying with her, she climbs over us. Tried shutting door for short periods but can't be having lots of shouting/crying (and feel bad!!). Tried bribery, worked for one night but then back to bedlam. Tried rapid return, not working so far. What can we do?? We have a baby too who doesn't sleep well in the eve so we are back and forth between both children all bloody night. It's family we visit regularly so we can't let it slide and let her stay up. She's also utterly exhausted, dark circles under her eyes and awful behaviour in the day. She's only recently dropped her nap. Please send help!!! :(

No advice out there? :( she was so so tired today, has a hacking cough. Tried to get her to nap today but no luck. Fell asleep in car for all of two mins at 5pm and that was enough to keep her up until now. Doesn't sound too late but I'd been trying since 6 and she'll be up at 6! :(

Haven’t got much advice but didn’t want to read and run! How long has she been like this for? Maybe try lots of fresh air and a good run about in the park so she is tired then a nice bath and book before bed.

we dont go anywhere any more...

I’d probably just let her stay up tbh

She's always been a tricky sleeper and takes a long time to unwind. Then if she's overtired she gets completely manic.
The trouble with letting her stay up is that she just gets more and more overtired and it then still takes us two hours to put her to bed just when we want to go to bed! Plus it's a bit complicated as DH often has to help out with some family stuff meaning he couldn't watch her all the time and I am spending most of the evening settling baby then going to bed early!
She just looks like utter shit if she was happy I'd let her stay up but it would be all tantrums and the dark circles under her eyes getting bigger! Oh well we're home soon and then hopefully will get back to some sort of normality...
Thanks for the responses, much appreciated :)

@itsboiledeggsagain I would quite happily stay at home but unfortunately have family abroad who can't travel to us! 🙈

@SS1987 I took her to the park for a massive run around this morning to try to get her a nap to catch up and she was knackered but still resisted a nap argh!!!