Earplugs are a good idea, I used them on the advice of the midwife who said they were good for filtering out the snuffling/gurgling/pig noises little babies make, but you will still hear them cry, which you do.
I used a Moses basket first time around, but second time around, me and my husband decided to sleep separately as we both found the sleep deprivation like a torture, so I had the big kingsize bed with the baby in moses basket next to me, so there was no crying for food- she was bf the second she woke. He then slept on a camp bed for a few months, as he preferred it to be in with us.
I think first time around you might lack the confidence to prioritise sleep and imagine that if you sleep separately it will push you apart. Quite the contrary getting everyone the sleep they need makes you get on better, not worse, as when everyone is exhausted, mad and bad things get said.
Would he sleep on the sofa/camp bed a couple of nights a week? Could he then take her from you on Sat/Sun morning so you have a lie in?
You have to think differently and not see these things as 'signs' but as a sensible response to a difficult situation.