Doing what you have suggested is literally the only thing we haven't tried now. We are both not fussed on the bedroom idea as as he seems to want attention, we just feel that he'll still whine but in the bedroom instead. However, another night of no sleep. Up at 2am and no settling despite every suggested remedy means that I'll try anything once!
Did you find that wee's and poops happened as usual when Jess was in your room? We have varnished floorboards in our bedroom which isn't likely to accept either too well! Did you just carry her downstairs and out the back?
This is why we moved the crate - she was waking several times in the night and refusing to settle after being taken out for a wee. I was getting very short of sleep!
She's always quite liked the crate - we did all the things about making it a good place to be - giving her all her meals in there, and putting treats in there for her to find. But she just didn't want to be alone in it at night, she wanted to be with us.
When we first moved the crate upstairs, we carried on closing the crate door at bedtime just as we had been downstairs. So accidents weren't an issue. (Jess is older now - 7 1/2 months - and will come and wake me if she needs out in the night, so I can leave the crate door open. )
When I went up to bed, Jess came up with me, I put her in the crate and she settled straight away when she saw I was not going anywhere. My husband came up a bit later and I heard him talking to her as she had woken when he came up the stairs, she settled back to sleep again right away.
She did wake in the night a couple of times, at first - less than she had been when she was downstairs, definitely - but with crate upstairs it took just a word to her to see her settling back to sleep - unless she needed out, and I can tell when that's what she needs. Then I took her downstairs and out the back door - put on a slip lead to avoid exciting night-time expeditions exploring the garden! - and after she was done, straight back upstairs, in the crate, shut the door, sleepytime Jess, then me back to bed and lights out. She settled as she knew we were right there with her, I am sure.
Since then we've had exactly no trouble at all with her sleep habits.
I do sympathise with you over the lack of sleep, it is so awful, I remember it well!